For g(x) = 5x - 3 and h(x) = √(x), find (g · h)(4)

Question

For g(x) = 5x - 3 and h(x) =
`√(x)`, find (g · h)(4)

Answer 1

(5(4) - 3)(√4)

(20-3)*2
(17)*2

= 34

Answer 2

For this case we have:

Let two functions, f (x) and g (x), then the composite function of f with g is
`(gof) (x) = g [f (x)]`

Let:

`g (x) = 5x-3\\h (x) = \sqrt x`

We want to find
`(g_ {0} h) (x)`

`(g_ {0} h) (x) = g [h (x)] = g (\sqrt x) = 5 \sqrt x -3\\(g_ {0} h) (4) = 5 \sqrt (4) -3 = 5 * 2-3 = 7`

Answer:

7