f is a function on real where f(x)=2x^2-x How do you find f^-1(x) ?

1 Answer
Jan 26, 2018

f^(-1)(x)=(1+-sqrt(1+8x))/4

Explanation:

We have y=f(x)=2x^2-x

or 2x^2-x-y=0

or x=(1+-sqrt(1+8y))/4

Hence f^(-1)(x)=(1+-sqrt(1+8x))/4