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29 May, 08:46

Find (g ∘ f) (10) when f (x) = and g (x) = 2x + 3.

A. 9

B. 15

C. 69

D. 22/3

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Answers (1)
  1. 29 May, 10:24
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    Step-by-step explanation:

    The equation of f (x) isn't given so I will assume one equation for f (x) and solve the problem to show the process. The answer choices won't hold.

    New Problem:

    Find (g ∘ f) (10) when f (x) = 3x - 1 and g (x) = 2x + 3

    Solution:

    The notation (g ∘ f) (10) means take the function "f" and put it into "g" and then evaluate that expression with "10". First, lets find (g ∘ f) (x).

    f (x) = 3x - 1

    g (x) = 2x + 3

    (g ∘ f) (x) = 2 (3x - 1) + 3

    = 6x - 2 + 3

    = 6x + 1

    So,

    (g ∘ f) (x) = 6x + 1

    Now,

    (g ∘ f) (10) = 6 (10) + 1 = 61

    This would be the answer.
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