SOLUTION: Give two functions f(x) and g(x) so that (f o g)(x)= h(x) = √x+3 + 1/3x + 9. Demonstrate algebraically that your choices work. f(x) = g(x) =

Algebra ->  Rational-functions -> SOLUTION: Give two functions f(x) and g(x) so that (f o g)(x)= h(x) = √x+3 + 1/3x + 9. Demonstrate algebraically that your choices work. f(x) = g(x) =      Log On


   

Question 1200531: Give two functions f(x) and g(x) so that (f o g)(x)= h(x) = √x+3 + 1/3x + 9. Demonstrate algebraically that your choices work.
f(x) =
g(x) =
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


There are too many possible interpretations of h(x) to make it worthwhile to spend any time trying to answer this for you.

Is "√x+3" sqrt%28x%29=3 or sqrt%28x%2B3%29?

Is "1/3x + 9" 1%2F3x%2B9 or 1%2F%283x%2B9%29?

Re-post, making proper use of parentheses....

Note that if (f o g)(x)= h(x) then one possible "solution" is g(x) = h(x) and f(x) = x. (g(x) "does the whole thing" and f(x) leaves it unchanged.)

But I'm sure you are expected to come up with a more interesting (and educational) answer.