Question

Find the domain of the fraction g(x)=(9)/(7-6x)

Answer 1

\[\LARGE 7-6x\neq 0\]

Answer 2

\[\LARGE g(x)=\frac{9}{7-6x}\]
\[\LARGE 7-6x\neq 0\]
because dividing by 0 is undefined so ...
\[\LARGE 7-6x\neq 0 \]
\[\LARGE -6x\neq -7 \]
\[\LARGE 6x\neq 7 \]
\[\LARGE x\neq \frac76 \]
so domain is
X can be all real numbers except 7/6

Answer 3

Thanks!