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# 1.What are the coordinates of the hole in the graph of the function f(x) ?

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1.What are the coordinates of the hole in the graph of the function f(x) ?

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3.

Feb 23, 2019

### 2+0 Answers

#1
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1.

$$f(x) = \dfrac{x^2+3x-28}{x+7}\\ f(x) = \dfrac{(x-4)(x+7)}{x+7}$$

The hole is on x = -7.

The required coordinates is $$\left(-7,\displaystyle\lim_{x\rightarrow -7}f(x)\right)$$.

$$\displaystyle\lim_{x\rightarrow-7}f(x) = \lim_{x\rightarrow-7}(x-4) = -11$$.

Therefore, the coordinate of the hole is $$(-7,-11)$$.

Feb 23, 2019
#2
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2.

The first option, which is the option on the top left corner.

Feb 23, 2019