Question

Given f(x)=(1/2x)-5, find f^-1(x).

Answer 1

`f^(-1)`(x)=2x+10

Explanation:

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

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

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

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

Both side multiple 2,

2x+10=y

`f^(-1)`(x)=2x+10