find the domain of the function.\ng(x)=\\frac{\\sqrt{x - 5}}{x - 8}\nwhat is the domain of g?\n(type your…
find the domain of the function.\ng(x)=\\frac{\\sqrt{x - 5}}{x - 8}\nwhat is the domain of g?\n(type your answer in interval notation.)
Answer
Explanation:
Step1: Consider the square - root condition
For the square root (\sqrt{x - 5}), the radicand (x-5\geq0). (x-5\geq0\Rightarrow x\geq5)
Step2: Consider the denominator condition
For the denominator (x - 8\neq0). (x-8\neq0\Rightarrow x\neq8)
Answer:
([5,8)\cup(8,\infty))