SOLUTION: Sorry, how do you solve this problem? Let f(x)=sqrt(x) and g(x)=x+3 find the following. 1. (f*g)(x) 2. (g*f)(x) What is the difference? Would you simple plug it in? How?

SOLUTION: Sorry, how do you solve this problem? Let f(x)=sqrt(x) and g(x)=x+3 find the following. 1. (fg)(x) 2. (gf)(x) What is the difference? Would you simple plug it in? How?

Question 677409: Sorry, how do you solve this problem?
Let f(x)=sqrt(x) and g(x)=x+3 find the following.
1. (f*g)(x)
2. (g*f)(x)
What is the difference?
Would you simple plug it in? How?
sqrt(x)*(x+3) ? HELP!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If those stars are multiplication signs, then there is no difference since x*y = y*x

If those stars are function composition symbols, then there is a difference because

(f*g)(x) = (f(g(x))

(f*g)(x) = sqrt(x+3)

and

(g*f)*(x) = g(f(x))

(g*f)*(x) = sqrt(x)+3
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