Question

Which function is the inverse of ſx) - 2x+ 3?

Answer 1

If
`f^(-1)(x)` is the inverse of
`f(x)`, then

`f\left(f^(-1)(x)\right) = x`

which means

`2f^(-1)(x)+3 = x`

Solve for
`f^(-1)(x)` :

`2f^(-1)(x) + 3 = x \\\\ 2f^(-1)(x) = x - 3 \\\\ f^(-1)(x) = \frac{x-3}2 = \boxed{\frac12x-\frac32}`