Question

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

Answer 1

Answer:

The coordinates are (-7, -11) actually. I took the test already.

Good luck!

Answer 2

Answer:

(-7, 0) are the coordinates of the function.

Step-by-step explanation:

The given function is f(x) = (x²+3x-28)/(x+7).

We have to find the coordinates of hole of the given function.

To find the coordinates of the hole we will find the factors of the numerator first.

x² + 3x - 28 = x²+ 7x - 4x -28

= x(x + 7) - 4(x + 7)

= (x + 7)(x - 4)

Now we know that factor (x + 7) is common as denominator therefore these factors will get cancelled.

Therefore x + 7 = 0

Or x = -7

and for x = -7 the value of y = (x²+3x-28)/(x+7) = 0

Therefore the coordinates of the hole of the given function is (-7, 0).