SOLUTION: If f(x)=3x+1 and g(x)=2x-1, then g(f(x))

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Question 1195289: If f(x)=3x+1 and g(x)=2x-1, then g(f(x))
Found 3 solutions by josgarithmetic, math_tutor2020, MathLover1:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website!
Make the very obvious composition and simplify!

Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!

g(x) = 2x - 1
g(x) = 2( x ) - 1
g(f(x)) = 2( f(x) ) - 1
g(f(x)) = 2( 3x+1 ) - 1
g(f(x)) = 2(3x)+2(1) - 1
g(f(x)) = 6x+2 - 1
g(f(x)) = 6x+1

Explanation:
We start with the outer function g(x). Replace each copy of x with f(x).
Then plug in f(x) = 3x+1 and simplify.

Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
and ,

then