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Definition of Functions

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Question

Given the function $f (x) = x^{2} - 2 x$ and $g (x) = 3 - x$ , find the value of: $g (f (4))$

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Solution

$\begin{matrix} f (x) = x^{2} - 2 x g (f (x)) = g ({(4)}^{2} - 2 \times 4) g (16 - 8) = g (8) = 3 - 8 = - 5 \end{matrix}$

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