Answer
Domain of\[f=\left\{ x|x\ne 8 \right\}\]
Work Step by Step
Division by 0 is undefined, so, exclude from the domain each function value of x for which the denominator is zero.
The denominator of $f\left( x \right)=\frac{7x}{x-8}$ is 0 if $x=8$.
Thus, x cannot be 8.
Domain of $f=\left\{ x|x\ne 8 \right\}$.