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(Simplify your answer.)Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. x-8 f(x) = 4x + 8 and g(x) = 4

Simplify your answerFind fgx and gfx and determine whether the pair of functions f and g are inverses of each other x8 fx 4x 8 and gx 4 class=

Respuesta :

Answer:

2x-6

Step-by-step explanation:

f(g(x))=4x+8 times x-8/4 = 2x-6

No idea if F and G are inverses

mhanifa

Answer:

  • x, x, yes

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Given

  • f(x) = 4x + 8,
  • g(x) = (x - 8)/4.

To find

  • f(g(x)),
  • g(f(x)),
  • Determine if f and g are inverse functions.

Solution

  • f(g(x)) = 4(x - 8)/4 + 8 = x - 8 + 8 = x
  • g(f(x)) = (4x - 8 + 8)/4 = 4x/4 = x
  • Since both composite functions result in same value of x, they are inverses of each other.

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