determine the inverse of y = x to the seventh power + 3
To find the inverse of the function y = x^7 + 3, we first need to switch the variables x and y and then solve for y.
Let y = x^7 + 3
Switching the variables gives us:
x = y^7 + 3
Subtract 3 from both sides:
x - 3 = y^7
Now we need to take the seventh root of both sides to solve for y:
y = (x - 3)^(1/7)
Therefore, the inverse of y = x^7 + 3 is:
y = (x - 3)^(1/7)