That x on top is confusing me
please help
Given f(x)= x/(x+2) and g(x)=6/x, find the following.
a) f(g(x))
b) the domain of f(g(x)) in interval notation
2 answers
f(g(x) = f(g) = g/(g+2) = (6/x) / (6/x + 2)
= (6/x) / ((6+2x)/x)
= 6/x * (x+2)/(2x+6)
= 6(x+2) / (2x(x+3))
= 3(x+2) / (x(x+3))
the domain excludes x= = -3,0
= (6/x) / ((6+2x)/x)
= 6/x * (x+2)/(2x+6)
= 6(x+2) / (2x(x+3))
= 3(x+2) / (x(x+3))
the domain excludes x= = -3,0