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22-08-2018
Mathematics

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

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22-08-2018

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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