Find the domain of f(x)=x+7log2(x−1)f(x) = \frac{\sqrt{x+7}}{\log_2(x-1)}f(x)=log2(x−1)x+7.
x>1x > 1x>1
x≥−7x \ge -7x≥−7
x∈(−7,1)∪(1,∞)x \in (-7, 1) \cup (1, \infty)x∈(−7,1)∪(1,∞)
x∈(1,2)∪(2,∞)x \in (1, 2) \cup (2, \infty)x∈(1,2)∪(2,∞)