Answer:
f(-1) = 3
f(5) = 20
Step-by-step explanation:
When evaluating a piecewise-defined function, the first step is to locate the argument value in the correct domain. Then the corresponding function is evaluated in the usual way.
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For x=-1, the relevant piece is the one defined for x < 4:
f(x) = x² +2
f(-1) = (-1)² +2 = 3
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For x=5, the relevant piece is the one defined for x > 4:
f(x) = 2x +10
f(5) = 2(5) +10 = 20
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Additional comment
The function written in this problem statement is "undefined" at x=4, so the graph would ordinarily show a "hole" there. We're not sure whether that is intentional.
