SOLUTION: I have to find the composition of functions! I did 16 problems already with no problem but can't figure this one out. g(x)=(2x)^1/2 f(x)=x^2+1 find (Fog)(x) I wou

Algebra ->  Functions -> SOLUTION: I have to find the composition of functions! I did 16 problems already with no problem but can't figure this one out. g(x)=(2x)^1/2 f(x)=x^2+1 find (Fog)(x) I wou      Log On


   

Question 214733: I have to find the composition of functions! I did 16 problems already with no problem but can't figure this one out.
g(x)=(2x)^1/2 f(x)=x^2+1 find (Fog)(x)

I would welcome any help!!!!!
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
I have to find the composition of functions! I did 16 problems already with no problem but can't figure this one out.
g(x)=(2x)^1/2 and f(x)=x^2+1. Then find (Fog)(x)=F(g(x))

Step 1. Substitute g(x)=2x^1/2 into f(x) as follows

Step 2. f%282x%5E%281%2F2%29%29=%282x%5E%281%2F2%29%29%5E2%2B1=2x%5E%28%281%2F2%29%2A2%29%2B1=2x%2B1

Step 3. ANSWER: Fog(x)=F(g(x))=2x+1

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J