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Oksanka [162]
3 years ago
8

Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x)) a. 3x+3 b. 3-3x c.-3-3x d. 2x-3

Mathematics
1 answer:
Tresset [83]3 years ago
8 0
<h3>Answer:  Choice B.  3 - 3x</h3>

Work Shown:

g(x) = -x\\\\g(f(x)) = -f(x)\\\\g(f(x)) = -(3x-3)\\\\g(f(x)) = -3x+3\\\\g(f(x)) = \boldsymbol{3-3x}\\\\

Explanation: We start with the outer function g(x). In the second step, we replace every copy of x with f(x). From there we plug in f(x) = 3x-3 and simplify using the distribution rule.

The notation g(f(x)) is the same as writing (g \circ f)(x)

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