# Algebra

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Very confused, and in need of help! I got 10 problems like this...Thanks!

Let f(x) = 6/x-1 and g(x)= 1+3/x

Please find the composite function (fog)(x)

• Algebra -

I will assume you mean f(x) = 6/(x-1) and g(x)= 1+(3/x)

(fog)(x) means f(g(x))

so f(g(x))
= f((1+3/x)
= 6/(1+3/x - 1)
= 6/(3/x)
= 6(x/3) = 2x

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