Answer to Question #47634 in Calculus for Bender

Question

Give the interval where each of the functions is continuous. Explain your answers.

a. g(x) = (sqrt (x + 1)) / (x^2 - 9)

b. h(x) = ln(x^2 - 1)

c. h(x) = x^2 + 1 if x < -1
= x^2 + 2x + 3 if -1 <= x <= 0
= 1 - (1 / x) if x > 0