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

Question

asked Jan 18, 2021 88.3k views

1 Answer

Hyperspasm · Answer 1 · 2021-01-23T16:43:03+0000

Answer:

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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