Verified Answer :

Neuron

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

h(x) = x - 7
g(x) = x^2
(gh)(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.

Answer:

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

Step-by-step 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

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