Suppose that the functions g and h are defined for all real numbers x as follows. g(x) = 4x– 4 h(x) = x-5 Write the expres

Question

Suppose that the functions g and h are defined for all real numbers x as follows.
g(x) = 4x– 4
h(x) = x-5
Write the expressions for (g+h)(x) and (g-h)(x) and evaluate (g.h)(1).

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Gabriella 2 weeks 2021-09-09T13:54:29+00:00 1 Answer 0

Answers ( )

    0
    2021-09-09T13:56:03+00:00

    Answer:

    See below in bold.

    Step-by-step explanation:

    (g + h)(x) = 4x – 4 + x – 5

    = 5x – 9.

    (g – h)(x) = 4x – 4 – (x – 5)  ( Note we put the x – 5 in parentheses)

    = 4x – 4 – x + 5

    =  3x + 1.

    (g.h)(x) = (4x – 4)(x – 5)

    so (g.h)(1) = (4(1) – 4)(1 – 5)

    = 0 * -4

    = 0.

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