MATH SOLVE

2 months ago

Q:
# Explain why f(x) is continuous at x=3

Accepted Solution

A:

Answer:f is not defined at x = 3 ⇒ answer (b)Step-by-step explanation:∵ f(x) = x² - x - 6/x² - 9 is a rational function∴ It will be undefined at the values of x of the denominator∵ The denominator is x² - 9∵ x² - 9 = 0 ⇒ x² = 9 ⇒ x = ±√9∴ x = ± 3∴ f(x) can not be defined at x = 3 ∴ The f(x) can not be continuous at x = 3 ∴ The answer is (b)