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31 August, 09:41

Let f (x) = 3x2 - x 2 and g (x) = 5x2 - 1. Find f (g (x)). Show each step of your work.

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  1. 31 August, 10:40
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    Easy, sub g (x) for x in f (x)

    f (g (x)) = 3 (g (x)) ^2 - (g (x)) ^2

    g (x) = 5x^2-1

    f (g (x)) = 3 (5x^2-1) ^2 - (5x^2-1) ^2=

    3 (25x^4-10x^2+1) - (25x^4-10x^2) =

    2 (25x^4-10x^2+1) =

    50x^4-20x^2+2

    f (g (x)) = 50x^4-20x^2+2
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