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bekas [8.4K]
3 years ago
6

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) =?

Mathematics
1 answer:
ad-work [718]3 years ago
7 0
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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8 0
2 years ago
Read 2 more answers
What is the answer you this question
8_murik_8 [283]
Hello!

First, you will need to subtract -2 from 4 (4-(-2)). You'll need to do this because to find the slope, you'll need to subtract y² w/ y1 or 4-(-2) and divide it by x² - x1 or -1-(-3). So once you set up the equation it'll look like this...

4-(-2)/-1-(-3)

Now after you've subtracted the numbers, your equation will look like this...

6/2

You'll then divide 6 by 2 and your slope will be 3

I hope this helps!
3 0
3 years ago
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