Question

`f*g; f(x)=x^2, g(x)=x^2+4`. Find domain?

Answer 1

`x inRR`

Explanation:

`f*g=f(x)xxg(x)`

`color(white)(f*g)=x^2(x^2+4)=x^4+4x^2`

`x^4+4x^2" is defined for all real values of x"`

`rArr"domain is "x inRR`
graph{x^4+4x^2 [-10, 10, -5, 5]}