Hi, may someone help me with this question? Thank you!:) “If f(x) = x^2 + 7, find f(x+2)”

Question

Hi, may someone help me with this question? Thank you!:)

“If f(x) = x^2 + 7, find f(x+2)”

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Thành Công 3 years 2021-07-29T01:41:15+00:00 2 Answers 7 views 0

Answers ( )

    0
    2021-07-29T01:42:38+00:00

    Answer:

    f(x+2)=x^2+4x+11

    Step-by-step explanation:

    In f(x)=x^2+7, for all values of x, we substitute x (what is in the parentheses) into x^2+7 to output a y value.

    In f(x+2), the term (x+2) is in the parentheses. Therefore, substitute (x+2) for x in x^2+7 to find f(x+2):

    f(x+2)=(x+2)^2+7

    Expand using (a+b)^2=a^2+2ab+b^2,

    f(x+2)=x^2+4x+4+7

    Combine like terms:

    \boxed{f(x+2)=x^2+4x+11}

    0
    2021-07-29T01:43:14+00:00

    Answer:

    =x^2 +4x+11

    Step-by-step explanation:

    f(x) = x^2 + 7,

    Replace x with x+2

    f(x+2) = (x+2)^2 + 7

             = (x+2)(x+2) +7

         FOIL

         = x^2 +2x+2x+4 +7

    Combine like terms

        =x^2 +4x+11

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