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Let f(t) = 3 + 2, g(x) = -x^2?, andhe) = (x - 2)/5. Find the indicated value:24. h (g(5))

Let f(t) = 3 + 2, g(x) = -x^2?, andhe) = (x - 2)/5. Find the indicated value:24. h-example-1
User Sachinruk
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1 Answer

24 votes
24 votes

The Solution to Question 24:

Given the function below:


\begin{gathered} g(x)=-x^2 \\ h(x)=(x-2)/(5) \end{gathered}

We are asked to find the value of h(g(5)).

Step 1:

We shall find g(5) by substituting 5 for x in g(x).


g(5)=-5^2=-25

So that:


h(g(5))=h(-25)

Similarly, we shall find h(-25) by substituting -25 for x in h(x).


h(-25)=(-25-2)/(5)=(-27)/(5)

Therefore, the correct answer is


(-27)/(5)

User Marqs
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