Which of the following is true about the function below? 1/sqrt(x-6) a. its domain is (6,infinity) and its range is (- infinity, infinity) b. its domain is (6,infinity) and its range is (- infinity, 0) u (0, infinity) c. its domain is (- infinity, 0) and its range is (0, infinity) d. its domain is (6,infinity) and its range is (0, infinity)

the answer is b, its domain is (6, infinity) and its range is (-infinity, 0) u (0, infinity). the domain is so because of the square root, which cannot be answered rationally if its negative. therefore, x-6> =0, which starts being true when x is 6 until infinity. the range is thus because the equation will be undefined at 0, since 1/0 is undefined.