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Find f(g(x)) and g(f(x)) and determine whether each pair of functions f and g are inverses of each other (pls include work and a simple how-to)
1. f(x)
4x and g(x) = x/4

Answer :

MHANIFAGO

Answer:

  • Yes

Step-by-step explanation:

Given:

  • f(x) = 4x
  • g(x) = x/4

Find the following:

  • f(g(x)) = 4*g(x) = 4*x/4 = x
  • g(f(x)) = f(x)/4 = 4x/4 = x

Since f(g(x)) = g(f(x)) = x, the functions are inverses of each other.
  • f(x)=4x
  • g(x)=x/4

[tex]\\ \sf\longmapsto f(g(x))=4(x/4)=x[/tex]

[tex]\\ \sf\longmapsto g(f(x))=4x/4=x[/tex]

  • f(x) and g(x) are inverse of each other

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