g4rrysingh g4rrysingh
  • 26-01-2019
  • Mathematics
contestada

for the information h(x)=2^(6x+7), find two functions f(x) and g(x) such that h(x)=f(g(x))

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altavistard
altavistard altavistard
  • 26-01-2019

Answer:

f(x) = 2^x; g(x) = 6x+7

Step-by-step explanation:

h(x)=2^(6x+7) can be decomposed as follows:

f(x) = 2^x and g(x) = (6x+7)

Note that g(x) = (6x+7) becomes the input to f(x):

f(x) = 2^x  => f( g(x) ) = 2^(6x+7).

This is called a "composite function."

Answers:  f(x) = 2^x; g(x) = 6x+7

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