How do you find the domain and range of g(x)=7/(7-6x)g(x)=776x?

1 Answer
Jun 25, 2016

Domain of gg is RR-{7/6}.

Range of g is RR-{0}.

Explanation:

Division by zero is not permitted, so, fun. g will be undefined when 7-6x=0, i.e., when x=7/6.

So, Domain of g is RR-{7/6}.

Also, notice that, AA x in RR-{7/6}, g(x)!=0, bcz. g(x)=0 rArr 7/(7-6x)=0 rArr 7=0, an impossible result.

Hence, AA x in RR-{7/6}, g(x)!=0, meaning that the Range of g is RR-{0}.