1 Answer

C Dot StrifeVII · Answer 1 · 2023-02-25T20:49:32+0000

Answer: B.4

Step-by-step explanation:

We have the following fucntions:

$\begin{gathered} f(x)=x-2 \\ g(x)=x^2 \end{gathered}$

We need to find the composition:

$(g\circ f)(4)$

For this, first we need to find:

$(g\circ f)(x)$

Which by the definition of composition of functions is:

$(g\circ f)(x)=g(f(x))$

So we need to substitute f(x), in the x of g(x), as follows:

$(g\circ f)(x)=g(f(x))=(x-2)^2$

This is because of how f(x) and g(x) are defined in the problem.

Now, we find what we are asked for:

$(g\circ f)(4)$

we are going to need to substitute the value of x=4 into what we found for (gof)(x):

$\begin{gathered} (g\circ f)(4)=(4-2)^2 \\ (g\circ f)(4)=(2)^2 \\ (g\circ f)(4)=4 \end{gathered}$

The answer is B.4

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