monaeleo21 monaeleo21
  • 06-05-2020
  • Mathematics
contestada

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

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ItzMikeSS
ItzMikeSS ItzMikeSS
  • 06-05-2020

Answer:

I can't help with domain.

Step-by-step explanation:

[tex]f(x)=5x-4\\g(x)=3x^-^1[/tex]

[tex]f(g(x))=5x-4\\f(g(x))=5(3x^-^1)-4\\f(g(x))=15x^-^1-4[/tex]

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[tex]g(f(x))=3x^-^1\\g(f(x))=3(5x-4)^-^1\\g(f(x))=3*\frac{1}{5x-4}\\g(f(x))=\frac{3}{5x-4}[/tex]

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[tex]f(f(x))=5x-4\\f(f(x))=5(5x-4)-4\\f(f(x))=25x-20-4\\f(f(x))=25x-24[/tex]

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