If f(x) = (x^2-36)/(x+6) is continuous at x = -6, find f(-6) a)-12 b)12 c)6 d)-6

Mathematics

2 answers:

NeTakaya3 years ago

7 0

Answer:

Step-by-step explanation:

$f(x)=\dfrac{x^2-36}{x+6}= \\\\\\\dfrac{(x-6)(x+6)}{x+6}= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12$

Therefore, the correct answer is choice A. Hope this helps!

My name is Ann [436]3 years ago

4 0

Answer:

=-12

Step-by-step explanation:

f(x) = (x^2-36)/(x+6)

Factor the numerator. The numerator is the difference of squares

(a^2 -b^2) = (a-b)(a+b)

f(x) = (x-6)(x+6)/(x+6)

Cancel the like terms

f(x) = x-6

f(-6) = -6-6

= -12

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