Can someone solve this and show me how they did it?
If f(x) = e^(2 x) , g(x) = 2 x + 4 , and h(x) = sqrt(x). Find a simplified formula for the function below:
f(g(x))h(x) = ?

Question

Can someone solve this and show me how they did it?
If   f(x) = e^(2 x)   ,   g(x) = 2 x + 4   , and   h(x) = sqrt(x). Find a simplified formula for the function below: 
  f(g(x))h(x) = ?

anonymous · Answer

the f(g(x))  means you need to compose the f(x) function using g(x) as your new x:

e^(2x)   and anywhere you see an x put in g(x)    = e^(2(2x+4)) then times that by h(x)

so e^(2(2x+4))*sqrt(x)    which just requires multiplying out