Answer
All real numbers except $\frac{7}{6}$.
Work Step by Step
The denominator of a fraction cannot be $0$, hence for the domain of the given function is the set that contains any real number except the one that makes $6z-7$ equal to $0$.
To find the domain, solve the equation $6x-7=0$ and exclude it from the domain to obtain:
$6x-7=0\\
6x=7\\
x=\frac{7}{6}$
Thus, the domain is the set of real numbers except $\frac{7}{6}.$
