use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?

Question

use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?

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Thạch Thảo 3 years 2021-08-27T07:18:00+00:00 1 Answers 0 views 0

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    2021-08-27T07:19:06+00:00

    Answer:

    f(g(-1)) = 22

    g(f(-1))=6

    Step-by-step explanation:

    We are given

    f(x)=5x+2 \\g(x)=3-x

    We need to find f(g(-1)) and g(f(-1))

    Finding f(g(-1))

    First we will find f(g(x)) i.e

    f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17

    Now finding f(g(-1)) by putting x=-1

    f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22

    So, f(g(-1)) = 22

    Finding g(f(-1))

    First we will find g(f(x)) i.e

    g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1

    Now finding g(f(-1)) by putting x=-1

    g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6

    So, g(f(-1))=6

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