Question

If h(x) =x-7 and g(x)=x^2, which expression is equivalent to (g*h)(5)

Answer 1

The value of (g.f)(x) is -50

Explanation:

Given two functions

`h(x) =x-7\text{ and }g(x)=x^2`

we have to find (g*f)(5)

Now,
`g(x)=x^2`

`h(x) =x-7`

`(g.f)(x)=x^2(x-7)=x^3-7x^2`

Put x=5

`(g.f)(5)=5^2(5-7)=5^3-7(5)^2=125-175=-50`

The value of (g.f)(x) is -50

Answer 2

If you would like to find the equivalent expression to (g*h)(5), you can do this using the following steps:

h(x) = x - 7
g(x) = x^2
(g*h)(x) = g(h(x)) = g(x - 7) = (x - 7)^2

(g*h)(5) = g(h(5)) = g(5 - 7) = (5 - 7)^2 = (-2)^2 = 4

The correct result would be (5 - 7)^2.