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).
