Question

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

Answer 1

A

Explanation:

`f(x)=(x^2-36)/(x+6)= \\\\\\((x-6)(x+6))/(x+6)= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12`

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

Answer 2

=-12

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