The answer is below.
Work Step by Step
The domain is all real numbers except 7/2. After all, the only thing that restricts the domain of this function is the denominator of the fraction being zero. Thus, we set it equal to zero to find: $$2x-7 = 0 \\ 2x = 7 \\ x = 7/2$$ Thus, x can be any number besides 7/2.