Find and simplify the function (f + g) (10), given that f (x) = x + 4 and g (x) = x² + 2.

Question

Mathematics

Amelia

11 March, 10:41

Find and simplify the function (f + g) (10), given that f (x) = x + 4 and g (x) = x² + 2.

+1

Answers (1)

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Meadow Levine · Answer 1

116

Step-by-step explanation:

note that (f + g) (x) = f (x) + g (x)

f (x) + g (x) = x + 4 + x² + 2 = x² + x + 6

To evaluate (f + g) (10) substitute x = 10 into f (x) + g (x), that is

x² + x + 6 = 10² + 10 + 6 = 100 + 10 + 6 = 116