Given f(x)=√x and g(x)=x^2 solve for f*g and state the domain and range of the resulting function or relation

Expert Answers
sciencesolve eNotes educator| Certified Educator

You need to find the equation of product function such that:

`f(x)*g(x) = sqrt x*x^2`

Notice that the equation of the function contains the square root function, hence you need to impose that radicand to be positive such that:

`xgt=0`

Hence, the domain of the function is the interval `[0,oo)`  and the range is also the interval `[0,oo).`