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1 January, 01:47

If f (x) = -x+8 and g (x) = x², what is (g⁰f) (6) ?

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  1. 1 January, 04:49
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    4

    Step-by-step explanation:

    there are two ways to find the answer

    the easiest one (based on me)

    (g o f) (6) = g (f (6))

    so first find f (6) and take the result and put in g (x)

    f (6) = - 6 + 8 = 2

    g (2) = 2² = 4

    the normal way

    (g o f) (x) = g (f (x)) = (f (x)) ² = (-x + 8) ²

    (g o f) (x) = x² - 16x + 64

    (g o f) (6) = 6² - 16 (6) + 64 = - 60 + 64 = 4
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