Question

If g(x)= 2x-1, and h(x)= square root of x, find (goh)(9)

Answer 1

(goh) = 2(x^1/2)-1
(goh)(9) = 2(9^1/2)-1
= 2(3)-1
= 6-1
= 5
(goh)(9) = 5

Answer 2

The
`(goh)(9)=5`

Explanation:

We need to find out the
`(goh)(9)`

Given:-
`g(x)=2x-1` and
`h(x)=√(x)`

First we need to find out the composition of (gof)(x)

Replace x in function g(x) with h(x) as;

`(goh)(x)=2(h(x))-1`

`(goh)(x)=2(√(x))-1`

Now put x=9 , in above to get the
`(goh)(9)`

`(goh)(9)=2(√(9))-1`

`(goh)(9)=2(3)-1`

`(goh)(9)=6-1`

`(goh)(9)=5`

Therefore,
`(goh)(9)=5`