pre calc question find f(x)?

I got both wrong im not sure what to do.

Given f(x)= x/ x-1 g(x)= 2x-4/x

find a) (gog) (0)

and b) (fog)(-3)

for a) i got 2 and b) i got -5/6 but they are marked as wrong

1 Answer

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  • 7 years ago

    g of g of 0 is

    2(g(0)) - 4/(g(0))

    g of 0 is 2(0) - 4/0.

    4/0 is undefined, so you have 2 - undefined.

    2 - undefined is undefined.

    g of g of 0 is undefined.

    f of g of 3 is

    g(3)/(g(3)-1)

    g of 3 is 2(3) - 4/3 = 6 - 4/3 = 14/3.

    so f of g of 3 = (14/3) / (14/3)-1

    = (14/3) / (11/3)

    = (14/3) * (3/11)

    = 42 / 33

    = 14 / 11

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