Question

If the function f is continuous for all real numbers and f(x) = (x^2-4)/(x+2) when x cannot equal -2 , then f(-2) =?

Answer 1

Answer: -4

Explanation:

If f is continuous you know that lim x-> a f(x) = f(a)

Since the limit x-> -2 = (x-2)(x+2)/(x+2) = -4, this is done by canceling out the top term and the bottom term (x+2)

Your answer is -4

Answer 2

The function is continuous for all real numbers:
f ( x ) = ( x² - 4 ) / ( x + 2 ) =
`((x-2)(x+2))/(x + 2)` =
= x - 2
f ( -2 ) = - 2 - 2 = - 4