SOLUTION: can you please help me? Find functions f and g so that h(x) = (f ∘ g)(x). h(x)=(square root symbol)59x^2+78 all numbers are under the square root symbol Thanks in a

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can you please help me? Find functions f and g so that h(x) = (f ∘ g)(x). h(x)=(square root symbol)59x^2+78 all numbers are under the square root symbol Thanks in a      Log On


   

Question 135249: can you please help me?
Find functions f and g so that h(x) = (f ∘ g)(x).
h(x)=(square root symbol)59x^2+78
all numbers are under the square root symbol
Thanks in advance
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
There are a couple of different ways to skin this cat, here's one of them:

f%28x%29=sqrt%28x%29

g%28x%29=59x%5E2%2B78

So (f ° g)(x) = f%28g%28x%29%29=sqrt%28g%28x%29%29=+sqrt%2859x%5E2%2B78%29=h%28x%29

By the way, in the future, if you want to indicate a square root, do it this way:

sqrt(everything you want under the radical symbol inside the parentheses)

so your h(x) would be sqrt(59x^2+78)