Question

Let f(x)=sqrt(x) and g(x)=sin(x). Find f*g and determine where f*g is continuous on the interval (-4pi, 4pi)

Answer 1

f*g = (√x)(sin x)

Since f is not defined for x<0, that leaves us with [0,4pi)

Both f and g are continuous everywhere defined, so there's no problem with their product.