r-answer-in-interval-notation-and-excluding-isolated-points-explicitly-if-needed

Question

Let f(x)=x−3x−5f(x)=\sqrt{\frac{x-3}{x-5}} and g(x)=x2−1g(x) = $$x^2 - 1. $$Form the function: (f∘g)(x)(f∘g)(x) and determine what the domain will be making sure to express your answer in interval notation. Also, be sure to explicitly list any excluding isolated points if needed.

Accepted Answer

(−∞,−6)∪[−2,2]∪(6,∞)\left(-\infty,-\sqrt6\right)\cup\left\lbrack-2,2\right\rbrack\cup\left(\sqrt6,\infty\right)

Answer

[−2,2][-2,2]

Answer

All real numbers xx except x=±6x=\pm\sqrt6

Answer

[−∞,−2)∪(2,∞]\left\lbrack-\infty,-2\right)\cup\left(2,\infty\right\rbrack

Let f(x)=x−3x−5f(x)=\(\sqrt{\frac{x-3}{x-5}\)} and g(x)=x2−1g(x) = x^2 - 1. Form the function: (f∘g)(x)(f∘g)(x) and determine what the domain will be making sure to express your answer in interval notation. Also, be sure to explicitly list any excluding isolated points if needed.

Let $f (x) = \sqrt{\frac{x - 3}{x - 5}}$ and $g (x) = x^{2} - 1$ . Form the function: $(f \circ g) (x)$ and determine what the domain will be making sure to express your answer in interval notation. Also, be sure to explicitly list any excluding isolated points if needed.