f(x)= 4-x^2 and g(x)= sqrt (x)

Question

find the implied domain of fg(x)
fg(x)= f(sqrt(x))
fg(x)= 4-(sqrt(x))^2
fg(x)=4-(sqrt x)(sqrt x)
fg(x)=4-x
domain= (x:x=all real numbers)
Am I correct?

Answer 1

Are you trying to find f of g of x or f*g of x?

Answer 2

f of g of x