If the function f is continuous for all real numbers and if f(x)=x^2-4/x+2


Asked by maham237 @ in Mathematics viewed by 303 People


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) =?

Answered by maham237 @



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

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