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5 February, 08:11

If f (x) = 10x + 7 and g (x) = x^2 - 7x, find (f - g) (x)

A. (f - g) (x) = x^2 + 3x + 7

B. (f - g) (x) = 10x^3 - 63x^2 - 49x

C. (f - g) (x) = - x^2 + 17x + 7

D. (f - g) (x) = 10x + 7

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Answers (1)
  1. 5 February, 11:46
    0
    C

    Step-by-step explanation:

    note that (f - g) (x) = f (x) - g (x)

    f (x) - g (x)

    = 10x + 7 - (x² - 7x) ← distribute parenthesis by - 1

    = 10x + 7 - x² + 7x ← collect like terms

    = - x² + 17x + 7 → C
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