SOLUTION: For each pair of functions, find f(g(x)) and g(f(x)). f(x)= 3x+5, g(x)= x^2+1

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Question 551714: For each pair of functions, find f(g(x)) and g(f(x)).
f(x)= 3x+5, g(x)= x^2+1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= 3x+5

f(g(x))= 3g(x)+5

f(g(x))= 3(x^2+1)+5

f(g(x))= 3x^2+3+5

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g(x)= x^2+1

g(f(x))= (f(x))^2+1

g(f(x))= (x^2+1)^2+1

g(f(x))= x^4+2x^2+1+1

g(f(x))= x^4+2x^2+2