SOLUTION: Please help - If f(x) = 2x + 1 and g(x) = x2, what is f ○ g? What is g ○ f?

Algebra ->  Functions -> SOLUTION: Please help - If f(x) = 2x + 1 and g(x) = x2, what is f ○ g? What is g ○ f?      Log On


   

Question 967933: Please help -
If f(x) = 2x + 1 and g(x) = x2, what is f ○ g? What is g ○ f?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If f%28x%29+=+2x+%2B+1 and g%28x%29+=+x%5E2, then:

%28f+o+g+%29%28x%29+=+f%28+g%28x%29%29+
%28f+o+g+%29%28x%29+=2x%5E2+%2B+1+

%28g+o+f+%29%28x%29+=+g%28+f%28x%29%29+
%28g+o+f+%29%28x%29+=+++%282x+%2B+1%29%5E2+
%28g+o+f+%29%28x%29+=++4x%5E2+%2B+4x%2B1