Find f(x+2) of the function f(x)= 4x^2+2x-4 HELP ASAP PLEASE WORTH 40 POINTS

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Find f(x+2) of the function f(x)= 4x^2+2x-4 HELP ASAP PLEASE WORTH 40 POINTS

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Diễm Thu 5 years 2021-08-14T10:19:55+00:00 2 Answers 15 views 0

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  1. minhkhoi
    0
    2021-08-14T10:21:02+00:00
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    Answer:

    The functional expression can be simplified by substituting the given value in the function in place of the variable.

    For example, if {eq}f(x)=x^{2} {/eq} be a function then {eq}f(2) {/eq} is determined by plugging {eq}x=2 {/eq} in the function.

    Step-by-step explanation:

    The given function is:

    {eq}f(x) = 4x^{2} + 2x {/eq}

    Let {eq}y=\frac{f(x + h) – f(x)}{h} {/eq} then we have:

    {eq}\\\\\begin{align*} y & = \frac{4(x+h)^{2} + 2(x+h)-(4x^{2}+2x)}{h} \\\\ & = \frac{4(x+h)^{2} + 2(x+h)-(4x^{2}+2x)}{h} \\\\ & = \frac{4(x^{2}+2xh+h^{2}) + 2x+2h-4x^{2}-2x}{h} \\\\ & = \frac{4x^{2}+8xh+4h^{2}+ 2h-4x^{2}}{h} \\\\ & = \frac{8xh+4h^{2}+ 2h}{h} \\\\ & = \frac{h(8x+4h+2)}{h} \\\\ & = 8x+4h+2 \\\\\end{align*} {/eq}

  2. trucchi
    0
    2021-08-14T10:21:34+00:00
    Reply

    Answer:

    Given

    • f(x)= 4x²+2x-4

    To find f(x + 2) substitute x with x + 2 in the given function:

    f(x+2)= 4(x + 2)² + 2(x + 2) – 4

             = 4(x² + 4x + 4) + 2x + 4 – 4

             = 4x² + 16x + 16 + 2x

             = 4x² + 18x + 16

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )