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Operations and Composite Functions

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Question 1
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B0/1 pt 53 98 Details
Let f(x) = x2 + 1 and g(x) = 2x - 4. Find (f + 9)(3).
(f +9)(3)-
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Answer 1

`(f + g)(3) = 12`

Explanation:

`(f + g)(x) = ( {x}^(2) + 1) + (2x - 4) \\ = {x}^(2) + 2x - 3 \\ \\ (f + g)(3) = {3}^(2) + 2(3) - 3 \\ = 9 + 6 - 3 \\ = 12`

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