Question

`f =(x) = (x)/(4)`

`fg (x) = (1)/(2x + 1)`
Find g(x)
​

Answer 1

g(x) =
`(x+3)/(x-3)`

Explanation:

From the picture attached,

Given function is,

f(x) = x + 1

We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 =
`(2x)/((x-3))`

g(x) =
`(2x)/((x-3))-1`

=
`(2x-(x-3))/((x-3))`

=
`((x+3))/((x-3))`

Therefore, g(x) =
`(x+3)/(x-3)` will be the answer.