the function h(x) = x squared+3 and g(x) = x squared-6. if g(x)=h(x)+k what is the value of k

Question

the function h(x) = x squared+3 and g(x) = x squared-6. if g(x)=h(x)+k what is the value of k

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Rose 2 weeks 2021-10-03T23:11:21+00:00 1 Answer 0

Answers ( )

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    2021-10-03T23:12:27+00:00

    Answer:

    k=-9

    Step-by-step explanation:

    The given functions are

    h(x) =  {x}^{2}  + 3

    and

    g(x) =  {x}^{2}  - 6

    We want to find the value of k, for which

    g(x) = h(x) + k

    This means we need to extract g(x) from f(x) to get:

    g(x) =  {x}^{2}  + 3 - 9

    Or

    g(x) = ( {x}^{2}  + 3)  + (- 9)

    g(x) =h(x)+  - 9

    Therefore k=-9

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