Answer
Domain of\[f=\left\{ x|x\ne 7,x\ne -7 \right\}\].
Work Step by Step
Division by zero is undefined, so exclude from the domain each function value of x for which the denominator is zero.
The denominator of $h\left( x \right)=\frac{x+7}{{{x}^{2}}-49}$ is 0 if $x=7$ and $x=-7$
Thus, x cannot be 7 and -7.
Domain of $f=\left\{ x|x\ne 7,x\ne -7 \right\}$.
