Question

If g(x) =5x-3 and h(x) = sqrt x find (goh) (4)

Answer 1

The answer I got was 7

Answer 2

(goh) (4) = 7

Explanation:

g(x) =5x-3 and h(x) = sqrt x

`g(x)= 5x-3` and
`h(x)= √(x)`

WE need to find (g o h)(4)

`(g o h)(x) = g( h(x))`

Plug in h(x) in g(x)

we know
`h(x)= √(x)`

Plug it in g(x)

`(g o h)(x) = g( h(x))=g(√(x))`

Now plug in sqrt(x) in g(x)

`(g o h)(x) = g( h(x))=g(√(x))= 5√(x) - 3`

To find (g o h)(4), plug in 4 for x

`(g o h)(4) = g( h(4))=g(√(4))= 5√(4) - 3= 5(2)-3= 7`

(goh) (4) = 7