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10 March, 08:14

Consider the functions f (x) = 2x + 1 and g (x) = x^2 - 10 What is the value of f[g (3) ]?

Options are

39

-3

-7

-1

+3
Answers (1)
  1. 10 March, 10:17
    0
    -1

    Step-by-step explanation:

    Tip: Remember to always start from the inside, which would be g (3), in this case.

    The first step in solving this problem is to solve for g (3).

    To accomplish this, you must substitute 3 for x into the given equation g (x) = x^2 - 10

    g (3) = 3^2 - 10 g (3) = 9 - 10 g (3) = - 1

    The next step is to substitute the answer of g (3), - 1, for x in the given equation f (x) = 2x + 1.

    Because the equation is asking for f[g (3) ], it becomes f (-1) because g (3) = - 1.

    f (-1) = 2 (-1) + 1 f (-1) = - 2 + 1 f (-1) = - 1

    Therefore, f[g (3) ], or f (-1), equals - 1
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