Question

F(x) = 5x - 4 and g(x) = 3x ^-1. Find (a) f(g(x)), (b) g(f(x)), (c) f(f(x)), and (d) the domain of each composition

Answer 1

I can't help with domain.

Explanation:

`f(x)=5x-4\\g(x)=3x^-^1`

`f(g(x))=5x-4\\f(g(x))=5(3x^-^1)-4\\f(g(x))=15x^-^1-4`

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`g(f(x))=3x^-^1\\g(f(x))=3(5x-4)^-^1\\g(f(x))=3*(1)/(5x-4)\\g(f(x))=(3)/(5x-4)`

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`f(f(x))=5x-4\\f(f(x))=5(5x-4)-4\\f(f(x))=25x-20-4\\f(f(x))=25x-24`

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