Question

Given that f(x)=
`(x^(2)-3 )/(2)`

A) Find
`f^(-1)(x)`
B) Find
`f^(-1) (11)`
Separate your 2 answers for part B with a comma.
I've solved
`f^(-1)(x)`, which was
`√(2x+3)`

However after this I do not see how I can get another value other than 5.

Answer 1

`x=5,-5`

Explanation:

`\\ y=(x^2-3)/(2)\\\\ x=(y^2-3)/(2)\\\\ 2x=y^2-3\\\\ y^2=2x+3\\\\ f^(-1)(x)=\pm√(2x+3)\\\\ f^(-1)(x)=\pm√(2(11)+3)\\=\pm√(25)=\pm 5`