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20 May, 03:41

Find (f + g) (x) and (f g) (x) for f (x) = 6x2 + 5 and g (x) = 7 - 5x.

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  1. 20 May, 05:11
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    see explanation

    Step-by-step explanation:

    (f + g) (x) = f (x) + g (x)

    f (x) + g (x)

    = 6x² + 5 + 7 - 5x ← collect like terms

    = 6x² - 5x + 12

    (fg) (x) = f (x) * g (x)

    = (6x² + 5) (7 - 5x)

    Each term in the second factor is multiplied by each term in the first factor

    =6x² (7 - 5x) + 5 (7 - 5x) ← distribute both parenthesis

    = 42x² - 30x³ + 35 - 25x

    = - 30x³ + 42x² - 25x + 35
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