Please help: given f(x)= -x+6 and g(x) = f(x+3) write an equation for function g.

Question

Please help: given f(x)= -x+6 and g(x) = f(x+3) write an equation for function g.

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Thiên Ân 5 years 2021-08-11T08:17:16+00:00 1 Answers 23 views 0

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    2021-08-11T08:18:59+00:00

    Answer:

    g(x) = -x + 3

    Step-by-step explanation:

    We are given:

    f(x) = -x + 6

    g(x) = f(x+3)

    Since g is not explicitly given, we are required to find the equation for function g.

    Function g is given in terms of f, thus we only have to substitute x+3 for x in f as follows:

    g(x) = f(x+3) = -( x + 3 ) + 6

    g(x) = -x – 3 + 6

    Simplifying:

    g(x) = -x + 3

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