Question

Find the inverse of the function f(x) = 3 − 4( x/2− 1/2).
Simplify your answer.

Answer 1

`f^(-1) (x)=-(x)/(2) +(5)/(2)`

Explanation:

To find the inverse, interchange the variables and solve for y.

Replace x and y, to find inverse function f , and compute the resulting equation for x.

there will be more than one inverse if the elementary function is not one-to-one.

So, exchange the variable:
`y=5-2x` becomes
`x=5-2y`

Now, solve the equation:
`x=5-2y` for y

`y=(5)/(2) -(x)/(2)`