Question

Given f(x) = 4x -3, find f^-1 (5)​

Answer 1

First find the inverse of the function f(x) ....

`f^( - 1) (x)`

For the inverse you swap the x abd y coordinates and make y the subject of the Equation again.

`x = 4y - 3 \\ 4y = x + 3 \\ (4y)/(4) = (x)/(4) + (3)/(4) \\ f^( - 1)(x) = (x)/(4) + (3)/(4)`

For

`{f}^( - 1) (5)`

In the place of x in the equation

`f ^( - 1) (x)`

Plug in 5 and simplify.

`f ^( - 1) (5) = (5)/(4) + (3)/(4) \\ f ^( - 1) (5) = (8)/(4) \\ f ^( - 1) (5) = 2`

GOODLUCK