Question

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

Answer 1

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)`