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Trish Goal

Questions and answers by visitors named Trish Goal

Questions (121)

When the product (3x+2y+1)(x+4y+5) is expanded, what is the sum of the coefficients of the terms which contain a nonzero power
1. 5 answers
2. 2,005 views
If P(x)=4+2sqrt(x+2) and G(x)=4-3X, then what is the largest constant such that P(G(a)) is defined? Thank you!
1. 4 answers
2. 1,442 views
What is the coefficient of x^3 when24x^4+6x^3+4x^2-7x-5 is multiplied by 6x^3+3x^2+3x+4 and the like terms are combined? I got
1. 5 answers
2. 1,289 views
Find the leading coefficeint in the polynomial -3(x^4-x^3+x)+7(x^4+2)-4(2x^4+2x^2+1) after it is simplified.I got this
1. 4 answers
2. 1,194 views
1. Find all values of p such that 2(x+4)(x-2p) has a minimum value of -18. I know that y is the minimum value,I know x is -4.
1. 2 answers
2. 473 views
1.What is the smallest possible value of 2x^4+(8/x^4) over all real nonzero values of x? To find the minimum value you have to
1. 1 answer
2. 464 views
Find all values of p such that 2(x+4)(x-2p) has a minimum value of -18? I know x=-4 but I do not know that helps us. Please
1. 3 answers
2. 671 views
What is the minimum possible value for y=x^2+12x+5? I am not sure where to start.
1. 3 answers
2. 492 views
What is the minimum possible value for y=x^2+12x+5? I am not sure where to even start. Thank you!
1. 5 answers
2. 1,255 views
There are three real numbers x that are not in the domain of f(x)=1/ 1+ (1+1/x). What is the sum of those three numbers. 0 is
1. 2 answers
2. 464 views
There are three real numbers x that are not in the domain of f(x)=1/ 1+ (1+1/x). What is the sum of those three numbers. I think
1. 1 answer
2. 455 views
There are three real numbers x that are not in the domain of f(x)=1/ 1+ (1+1/x). What is the sum of those three numbers. Thank
1. 1 answer
2. 322 views
Find the smallest integer x where the expression srt(x-2)/x^2+x-6 is defined. I factored the denominator (x+3)(x-2) and the
1. 2 answers
2. 607 views
The function f(x) satisfies f(sqrt(x+1))=1/x for all x>= -1, x does not = 0. Find f(2). Couldn't you just plug it in? sqrt(3)
1. 3 answers
2. 1,058 views
Let f(x)-3x-7/x+1. Fidnd the range of f. Give your answer as an interval. Please enter your response in interval notation. I
1. 1 answer
2. 463 views
Let f(x)=x^2+4x-31. For what value of a is there exaclty on real value of x such that f(x)=a? Thank you!
1. 1 answer
2. 356 views
Let f(x)=3x^2-4x. Find the constant k such that f(x)=f(k-x) for all real numbers x. Thank you!
1. 1 answer
2. 397 views
Find all complex numbers z such that z^2=2i. Write your solutions in form, separated by commas. So, "1+2i, 3-i" is an acceptable
1. 2 answers
2. 601 views
Let f be a function such that f(x+y)=x+f(y) for any two real numbers x and y. If f(0)=2, then what is f(2012)? Thank you!
1. 1 answer
2. 347 views
Complete the range of the functionf(x)=sqrt(x^2). Thank you!
1. 1 answer
2. 335 views
What is the domain of the function l(y)= 1/(y-2)+(y-8)? Thank you!
1. 1 answer
2. 322 views
What is the range of the function r(x)-1/(1-x)^2? Express your answer in interval notation. Thank you!
1. 3 answers
2. 368 views
What is the range of the functionr(x)=1/(1-x)^2? Express your answer in interval notation. Thank you!
1. 1 answer
2. 437 views
What is the smallest integer value of c such that the functionf(x)=x^2+1/x^2-x+c has a domain of all real numbers? Thank you!
1. 5 answers
2. 1,875 views
Compute the domain of the real-valued function f(x)=sqrt(1-sqrt(2-x)). Thank you
1. 3 answers
2. 1,110 views
Compute the domain of the real-valued function f(x)=qsrt(1-sqrt(2-x)). Thank you!
1. 1 answer
2. 407 views
Find the greatest integer value of b for which the expression 9x^2+4x^2+11x+7/x^2+bx+8 has a domain for all real numbers? Thank
1. 2 answers
2. 674 views
Find the greatest integer value of b for which the expression 9x^3+4x^2+11x+7/x^2+bx+8 has a domain for all real numbers. Thank
1. 4 answers
2. 1,297 views
Compute the domain of the real-valued ntion f(x)=sqrt(1-sqrt(2-x). Thank you!
1. 3 answers
2. 542 views
What is the range of the functionf(x)=1/1-x? Express your answer in interval notation. Thank you!
1. 2 answers
2. 454 views
Find the domain of srt(6-x-x^2. Thank you!
1. 3 answers
2. 427 views
How many real numbers are not in the domain of the functionf(x)=(1/x-64)+(1/x^2-64)+(1/x^3-64)? Thank you!
1. 1 answer
2. 370 views
How many real numbers are not in the domain of the functionf(x)=(1/x-64)+(1/x^2-64)+(1/x^3-64)?
1. 1 answer
2. 389 views
How many real numbers are not in the domain of the functionf(x)=(1/x-64)+(1/x^2-64)+(1/x^3-64)? Thank you!
1. 1 answer
2. 366 views
Let A(t)3-2t^2+4^t. Find A(2)-A(1)Thank you!
1. 1 answer
2. 303 views
The function f(x) satisfies f(sqrt(x+1))=1/x for all x>= -1, x does not = 0. Find f(2)Thank you!
1. 2 answers
2. 848 views
what is the domain of the functionu(x)=1/sqrt(x)? Thank you!
1. 1 answer
2. 362 views
Let f(x)-3x-7/x+1. Find the range of f. Give your answer as an interval. Please enter your response in interval notation. I
1. 1 answer
2. 450 views
Find all complex numbers such thatz^2=2i. Thank you!
1. 2 answers
2. 554 views
Suppose a function f(x) has a domain of (-inf,inf) and range [-11,3]. If we define a new function g(x) by g(x)=f(6x) +1, then
1. 4 answers
2. 2,341 views
Let f be a function such that f(x+y)=x+f(y) for any two real numbers x and y. If f(0)=2, then what is f(2012)? Thank you!
1. 1 answer
2. 299 views
Consider thef(x)=srt(x+1/x-1) and g(x)= sqrt(x+1)/sqrt(x-1). Explain why f and g are not the same function. Thank you!
1. 2 answers
2. 541 views
1. Letf(x)=2x+5 g(x)=sqrt(f(x) -2 h(x)= f(g(x)) What is h(2)? 2. Define the function f(x)=2x-5. For what value of x is f(x)
1. 2 answers
2. 457 views
Let N,O be functions such that N(x)=2srt(x),O(x)=x^2. What is N(O(N(O(N(O(3))))))? Thank you!
1. 1 answer
2. 333 views
Define the function f(x)=2x-5. For what value of x is f(x) equal to f^-1(x)? Thank you!
1. 1 answer
2. 412 views
For real numbers a and b, define a%b=sqrt(a^2+b^2). What is the value of (5%12)%((-12)%(-5))?The percentage is just a random
1. 4 answers
2. 705 views
Define a#b as the arithmetic mean of a and b. What is the value of ((1#2)#2)#4? Express your answer as a common fraction.The
1. 2 answers
2. 501 views
My calculator is broken. The "+" key works correctly,but whenever I try to compute a-b, the calculator performs b-a instead.
1. 3 answers
2. 1,605 views
Define #N by the formula #N=.5(N)+1. Calculate#(#(#50)).
1. 2 answers
2. 487 views
The inverse of f(x)=2x-1/x+5 may be writeen in the form f^-1(x)=ax+b/cx+d where a,b,c, and d are real numbers. Find a/c. Thank
1. 3 answers
2. 548 views
Define #N by the formula #N=.5(N)+1. Calculate #(#(#50)). Thank you!
1. 10 answers
2. 2,816 views
The inverse of f(x)=2x-1/x+5 may be writeen in the form f^-1(x)=ax+b/cx+d where a,b,c, and d are real numbers. Find a/c. Thank
1. 1 answer
2. 322 views
Define f(x)=3x-8. If f^-1 is the inverse of f, find the value (s) of x for which f(x)=f^-1(x). Thank you!
1. 1 answer
2. 351 views
Let x#y=x^2/y for all x and y such that y cannot equal 0. Find all values of a such that a#3=9. Thank you.
1. 1 answer
2. 388 views
Let f(a,b)=2a-3b^2=7. If f(b,3)=90, then what is b? Thank you.
1. 1 answer
2. 281 views
Suppose a(x)=3x-7 and b(x)=2-x^3. Find a(b(3))-b(a(3)). Thank you.
1. 1 answer
2. 450 views
Let f(x)=1/ax+b where and b are non zero constants. Find all solutions to f^-1(x)=0. Express your answer in terms of a and/or b.
1. 1 answer
2. 358 views
Let f(x)=1/ax+b where and b are non zero constants. Find all solutions to f^-1(x)=0. Express your answer in terms of a and/or b.
1. 2 answers
2. 518 views
Given the function f(x)=3x^3+2, find the value of x so that f^-1(x)=4. Thank you.
1. 1 answer
2. 357 views
Let f(x)= 3x-7/x+1. Find the inverse f^-1(x). Thank you.
1. 3 answers
2. 309 views
Let f(x)=2x+7 andg(x)=3x+c. Find c if (f#g)(x)=(g#f)(x) for all x. Thank you.
1. 3 answers
2. 298 views
Let f(x)=x^2-2x. Find all real numbers x such that f(x)=f(f(x)). Thank you.
1. 2 answers
2. 601 views
The function f(x,y) accepts an ordered pair as input and gives another ordered pair as output. It is defined according to the
1. 2 answers
2. 620 views
Let f(x)=px+q, where p and q are real numbers. Find p+q if f(f(f(x)))=8x+21. Thank you.
1. 1 answer
2. 331 views
Let p(x)=2x^3-113 and let q be the inverse of p. Find q(137). Please explain in steps. Thank you.
1. 1 answer
2. 679 views
Given the function f(x)=3x^3+2, find the value of x so that f^-1(x)=4. Thank you.I tried to solve for the inverse by
1. 4 answers
2. 1,056 views
The values of a function f(x) are given in the table:x=1, f(x)=3 x=2. f(x)=1 x=3. f(x)=5 x=4, f(x)=4 x=5, f(x)=2 If f^-1 exists,
1. 1 answer
2. 448 views
If f(x)=x^5-1/3, findf^-1(-31/96). I think the first step would be to find the inverse of -31/96, but I am not sure how to find
1. 4 answers
2. 732 views
Let p(x)=2x^3-113 and let q be the inverse of p. Find q(137). Please explain in steps.I posted this already but I did not list
1. 2 answers
2. 862 views
If h(y)=1+y/2-y, then what is the value of h^-1(5)? Express your answer in simpilest form.The first step would be to find the
1. 1 answer
2. 391 views
Suppose that f(x)=4x+5. What isf^-1(f^-(9))? I am pretty sure we can plug in 9 for f(x) which gives us the value of 1. But then
1. 1 answer
2. 460 views
Given that f(x) is a function such that f(1)=2, f(4)=3, f(7)=4, and f^-1(x) is the inverse of f(x), what isf^-1(f^-1(3))? I am
1. 1 answer
2. 323 views
Given the functionsf(x)=x+5/3 and g(x)=1/f^-1(x)+1, find the value of g(3). The first step would first be to find the inverse of
1. 5 answers
2. 502 views
The values of a function f(x) are given in the table below:x=1, f(x)=3 x=2, f(x)=13 x=3. f(x)=8 x=5,f(x)=1 x=8,f(x)=0 x=13,
1. 2 answers
2. 714 views
Let f(x)=px+q, where p and q are real numbers. Find p+q if f(f(f(x)))=8x+21. Thank you.I got this p^3 +p^2q + pq + q = 29 Would
1. 2 answers
2. 1,021 views
The function f(x,y) accepts an ordered pair as input and gives another ordered pair as output. It is defined according to the
1. 2 answers
2. 608 views
How many square units are in the area of the triangle whose vertices are the x and y intercepts of the cuurey=(x-3)^2(x+2)?
1. 3 answers
2. 859 views
What are the coordinates of the points where f(x)=x^3-x^2+x+1and g(x)=x^3+x^2+x-1 intersect?
1. 1 answer
2. 372 views
Find all points (x,y) that are 13 units away from the point (2,7) and that lie on the line x-2y=10.
1. 4 answers
2. 659 views
The graphs of y=3-x^2+x^3 and y=1+x^2+x^3 intersect in multiple points. Find the maximum difference between the y-coordinates of
1. 2 answers
2. 698 views
The graphs of a function f(x)=3x+b and its inverse function f^-1(x) intersect at the point (-3,a). Given that b and a are both
1. 2 answers
2. 516 views
What are the coordinates of the points where f(x)=x^3-x^2+x+1and g(x)=x^3+x^2+x-1 intersect?
1. 1 answer
2. 430 views
Let a and b be real numbers, where a<b, and let A=(a,a^2) and B=(b,b^2). The line AB( meaning the unique line that contains the
1. 1 answer
2. 436 views
Let a and b be real numbers, where a<b, and let A= (a,a^2) and B=(b,b^2). The line AB (meaning the unique line that contains the
1. 1 answer
2. 420 views
What are the coordinates of the points where the graphs of f(x)=x^3-x^2+x+1 and g(x)=x^3+x^2+x-1 intersect? Give your answer as
1. 1 answer
2. 492 views
Assume that f(3)=4. Name a point that must be on the graph of y=f(x)+4
1. 5 answers
2. 1,619 views
Assume that f(3)=4. Name a point that must be on the graph of y=1/2f(x/2).
1. 2 answers
2. 560 views
Let a and b be real numbers, where a<b, and let A= (a,a^2) and B=(b,b^2). The line AB (meaning the unique line that contains the
1. 4 answers
2. 1,137 views
What are the coordinates of the points where f(x) =x^3-x^2+x+1And g(x)=x^3+x^2+x-1 intersect?
1. 7 answers
2. 3,978 views
Consider the polynomials:F(x)= 4x^3 + 3x^2 + 2x +1 G(x)= 3 - 4x + 5x^2 - 6x^3 Find c such that the polynomial f(x)+cg(x) has
1. 3 answers
2. 476 views
Let f,g, and h be polynomials such that h(x)=f(x)*g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3,
1. 1 answer
2. 359 views
Find all positive integer values of c such that the equation x^2-7x+c=0 only has roots that are real and rational.
1. 2 answers
2. 587 views
Suppose that f is a polynomialsuch that (x^2-1)*f(x)=5x^6-x^5+3x^4+x^3-25x^2+38x-17. What is the degree of?
1. 1 answer
2. 410 views
If f(x) is a polynomial of degree 4, and g(x) is a polynomial of degree 2, then what is the degree of polynomialf(x)-g(x)?
1. 1 answer
2. 398 views
If p(x)=x^4-3x+2, then find the coefficient of the x^3 term in the polynomial (p(x))^3.
1. 4 answers
2. 553 views
I already posted this question and Reiny answered it, I just wanted to clarify my answerProblem: If f(x) is a polynomial of
1. 2 answers
2. 549 views
Find h(x) with terms in order of decreasing degree,if 9x^3-3x+1+h(x)=3x^2-5x+3.
1. 4 answers
2. 1,478 views
I already posted this question,Steve answered it. I just wanted to clarify my answer.Problem:Find h(x) with terms in order of
1. 4 answers
2. 610 views
Let f(x)=4x^7+x^5+3x^2-2x+c. For what value of c is f(-1)=0?
1. 1 answer
2. 300 views
Part a: Let f(x)=x^4-3x^2+2 andg(x)=2x^4-6x^2+2x-1. Let a be a constant. What is the largest possible degree of f(x)+a*g(x)?
1. 2 answers
2. 522 views

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