Question

State if the given functions are inverses. Please show steps

Answer 1

Explanation:

Let find inverse of f(x):

f(x) =
`(1)/(x)` + 2

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

`(1)/(x)` = y - 2

x =
`(1)/(y -2)`

y =
`(1)/(x -2)` is the inverse of f(x) =
`(1)/(x)` + 2

Therefore, f(x) and h(x) are not inverses.

==============

h(x) =
`(4)/(x-3)`

y =
`(4)/(x-3)`

x =
`(4)/(y-3)`

y - 3 =
`(4)/(x)`

y =
`(4)/(x)` + 3 is the inverse function of h(x)