Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below: f(x) = 2x − 20

Question

Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below:

f(x) = 2x − 20

g(x) = x − 1

−5
5
one sixth
30

in progress 0
Josie 2 days 2021-10-12T11:28:10+00:00 2 Answers 0

Answers ( )

    0
    2021-10-12T11:29:36+00:00

    Answer: Choice A)  -5

    =====================================================

    Plug x = -5 into f(x)

    f(x) = 2x-20

    f(-5) = 2(-5) – 20

    f(-5) = -10-20

    f(-5) = -30

    Then plug x = -5 into g(x)

    g(x) = x-1

    g(-5) = -5-1

    g(-5) = -6

    Divide the two results

    (f/g)(-5) = f(-5)/g(-5)

    (f/g)(-5) = (-30)/(-6)

    (f/g)(-5) = -5

    0
    2021-10-12T11:29:47+00:00

    For this case we have the following functions:

    f (x) = 2x-20\\g (x) = x-1

    We must find \frac {f (-5)} {g (-5)}, then:

    We have in mind that:

    + * - = -

    Equal signs are added and the same sign is placed.

    \frac {f (-5)} {g (-5)} = \frac {2 (-5) -20} {- 5-1} = \frac {-10-20} {- 6} = \frac {-30} {- 6} = 5

    Answer:

    5

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