SOLUTION: Suppose f(x) = -3x^2 + 6x - 17 + 3x^2 + 2x - 14. Does f have an inverse function? If so, find f^{-1}(-41). If not, enter "undef".

Algebra ->  Functions -> SOLUTION: Suppose f(x) = -3x^2 + 6x - 17 + 3x^2 + 2x - 14. Does f have an inverse function? If so, find f^{-1}(-41). If not, enter "undef".       Log On


   

Question 1209619: Suppose f(x) = -3x^2 + 6x - 17 + 3x^2 + 2x - 14. Does f have an inverse function? If so, find f^{-1}(-41). If not, enter "undef".
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-3x%5E2%2B6x-17%2B3x%5E2%2B2x-14
f%28x%29=8x-31

The function is linear; it has an inverse.

8x-31=-41
8x=-10
x=-5%2F4

ANSWER: f%5E%28-1%29%28-41%29=5%2F4