SOLUTION: Let f(x) = sqrt of x and g(x)= 2x+5. Determine the domain of the composite function and then find the composite function. (g*f)(x) Domain: _________ (g*f)(x)= _________

Algebra ->  Functions -> SOLUTION: Let f(x) = sqrt of x and g(x)= 2x+5. Determine the domain of the composite function and then find the composite function. (g*f)(x) Domain: _________ (g*f)(x)= _________      Log On


   

Question 390984: Let f(x) = sqrt of x and g(x)= 2x+5. Determine the domain of the composite function and then find the composite function.
(g*f)(x)
Domain: _________
(g*f)(x)= _________
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
(gof)(x) = g(f(x)) = g(sqrt%28x%29) = 2sqrt%28x%29 + 5.
The domain of gof is [0, infinity).