KeeraO417158 KeeraO417158
  • 25-10-2022
  • Mathematics
contestada

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

Let ft 3 2 gx x2 andhe x 25 Find the indicated value24 h g5 class=

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MelaysiaE538438 MelaysiaE538438
  • 25-10-2022

The Solution to Question 24:

Given the function below:

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

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).

[tex]g(5)=-5^2=-25[/tex]

So that:

[tex]h(g(5))=h(-25)[/tex]

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

[tex]h(-25)=\frac{-25-2}{5}=\frac{-27}{5}[/tex]

Therefore, the correct answer is

[tex]\frac{-27}{5}[/tex]

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