Quiz: Week 5 Quiz This Question: 5 pts 19 of 23 (10 complete) x Consider the fun

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Quiz: Week 5 Quiz This Question: 5 pts 19 of 23 (10 complete) x Consider the functions f(x)=4x-8 and g(x)= +2. (a) Find fg(x)) (b) Find gffx). (c) Determine whether the functions f and g are inverses of each other (a) What is f(g(x))? figk)-(Simplify your answer) Give any values of x that need to be excluded from f(g(x). Select the correct choice below and fill in any answer boxes within your ch (Use a comma to separate answers as needed ) O B. No values should be excluded from the domain. (b) What is g(f(x)? Click to select your answer(s o Exercise 0

Explanation / Answer

f(X) = 4x - 8

g(x) = x/4 + 2

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

= x + 8 - 8

f(g(x)) = x

b) no values should be excluded from the domain

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

= ( x - 2 ) + 2

g(f(x)) = x

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