Question

If f(x) and rl (x) are inverse functions of each other and f(x) = 2х+5, what is rl (8) ?

теnju
оооо
loo 3

Answer 1

r(8)=1.5

Explanation:

The given function is
`f(x)=2x+5`

when f(x)=8, we have
`8=2x+5`

This implies that:

`8-5=2x`

`3=2x`

`x=1.5`

Hence the point (1.5,8) lies on f(x)

The inverse of function r(x) will have the corresponding point (8,1.5)

This means that:

`r(8)=1.5`