Question

Determine the value of the constant a for which the function f(x) is continuous at -4. f(x) = { (x^2 + 6x + 8) / (x + 4) if x ? -4 a if x = -4 The function f(x) is continuous at -4 when a = . (Type an integer or a fraction.)

          Determine the value of the constant a for which the function f(x) is continuous at -4.
f(x) = {
(x^2 + 6x + 8) / (x + 4) if x ? -4
a if x = -4
The function f(x) is continuous at -4 when a = . (Type an integer or a fraction.)

$Determine the value of the constant a for which the function f(x) is continuous at -4. f(x) = (x^2 + 6x + 8) / (x + 4) if x ? -4 a if x = -4 The function f(x) is continuous at -4 when a = . (Type an integer or a fraction.)$

Added by Laura T.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

04/23/2024

Step 1

We know that a function is continuous at a point if the left-hand limit, right-hand limit, and the value of the function at that point are equal. Show more…

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Determine the value of the constant a for which the function f(x) is continuous at -4. f(x) = { x^2 + 6x + 8 / x + 4 if x != -4 a if x = -4 The function f(x) is continuous at -4 when a = . (Type an integer or a fraction.)