Let f(x) = 4 + 5x and g(x) = 2x - 1. Find f(g(x)) and g(f(x))
Choices:)
A.) f(g(x)) = 10x - 1; g(f(x)) = 10x + 7
B.) f(g(x)) = 7x + 3; g(f(x)) = 10x + 7
C.) f(g(x)) = -7x - 3; g(f(x)) = -10x + 7
D.) f(g(x)) = -10x - 7; g(f(x)) = 7x + 3

Question

Let f(x) = 4 + 5x and g(x) = 2x - 1. Find f(g(x)) and g(f(x)) 
Choices:)
A.) f(g(x)) = 10x - 1; g(f(x)) = 10x + 7 
B.) f(g(x)) = 7x + 3; g(f(x)) = 10x + 7 
C.) f(g(x)) = -7x - 3; g(f(x)) = -10x + 7 
D.) f(g(x)) = -10x - 7; g(f(x)) = 7x + 3

anonymous · Answer

f(g(x))=4+5(2x-1) distribute
         =4+10x-5 simplify
         =-1+10X
g(f(x))=2(4+5x)-1 distribute
         =8+10x-1 simplify
         =7+10x

anonymous · Answer

So would the answer be A ?