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Question

# Find and simplify the expression if $f(x)=x^{2}-4$. $f(2)+f(h)$

Solution

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Given $f(x) = x^2 - 4$.

To find $f(2) + f(h)$, we replace $x$ with $2$ and $h$ wherever $x$ occurs in $f(x) = x^2 - 4$ and evaluate the right side :

\begin{align*} f(2) + f(h) & = [(2)^2 - 4] + [(h)^2 - 4] \\ & = 4 - 4 + h^2 - 4\\ & = h^2 - 4 \end{align*}

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