Find and simplify the expression if $f(x)=x^{2}-5$
\[
f(4)+f(h)
\]
$f(4)+f(h)=\square$ (Simplify your answer.)
\(\boxed{f(4) + f(h) = h^2 + 6}\) is the final answer.
Step 1 :First, we need to substitute the values 4 and h into the function f(x) = x^2 - 5.
Step 2 :Substitute 4 into the function: \(f(4) = (4)^2 - 5 = 16 - 5 = 11\).
Step 3 :Substitute h into the function: \(f(h) = (h)^2 - 5\).
Step 4 :Now, we add these two results together: \(f(4) + f(h) = 11 + h^2 - 5\).
Step 5 :Simplify the expression: \(f(4) + f(h) = h^2 + 6\).
Step 6 :\(\boxed{f(4) + f(h) = h^2 + 6}\) is the final answer.