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) = ?

Answer 1

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