SOLUTION: Let F(x)= 4 + 5x and g(x) = 2x-1. Find f(g(x)) and g(f(x))

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Question 84551This question is from textbook
: Let F(x)= 4 + 5x and g(x) = 2x-1. Find f(g(x)) and g(f(x))This question is from textbook

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x)= 4 + 5x and g(x) = 2x-1. Find f(g(x)) and g(f(x))
:
f(g(x))=f(2x-1) substitute g(x) in for the x's in f(x)
f(2x-1)=4+5(2x-1)
f(2x-1)=4+10x-5
f(2x-1)=10x-1
:
g(f(x))=g(4+5x) substitute f(x) in for the x's in g(x)
g(4+5x)=2(4+5x)-1
g(4+5x)=8+10x-1
g(4+5x)=10x+7
:
Happy Calculating!!!