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18 July, 08:29

For f (x) = x2 + 8x + 7, evaluate f (x + 4) - f (x). Simplify.

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  1. 18 July, 08:55
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    Substituting, we have

    ... f (x+4) = (x+4) ² + 8 (x+4) + 7

    ... = x² + 8x + 16 + 8x + 32 + 7

    ... = x² + 16x + 55

    Subtracting the original, we have

    ... f (x+4) - f (x) = (x² + 16x + 55) - (x² + 8x + 7)

    ... f (x+4) - f (x) = 8x + 48
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