Posted by anonymous on .
for the given functions f and g, find the following and state the domain of each.
f(x)=square root x; g(x)=5x1
a. (f*g)(x)= ?
what is the domain of f*g?
b. (f/g)(x)=?
what is the domain of f/g?
please show work

calculus 
Steve,
domains:
f: x>=0
g: all real
f*g = f(x)*g(x) = (5x1)√x
domain: x>=0
f/g = f(x)/g(x) = √x / (5x1)
domain x>0 but x ≠ 1/5
That is, (0,1/5)U(1/5,oo)