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Let f(x) = 2x and g(x) = -x – 4.What is (gºf)(x)?

User Matts
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1 Answer

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This problem is about function composition. That is one function inside another.

We need to find


(g\circ f)(x)

This indicates we have to substitute f(x) inside g(x), as follows.


\begin{gathered} g(x)=-x-4 \\ g(f(x))=-(2x)-4=-2x-4 \end{gathered}

Therefore, the composition is


(g\circ f)(x)=-2x-4

User Jaapz
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