Question

Where is the hole for the following function located?

Answer 1

x =-3

Explanation:

A hole of a simplified rarional funcrion as the one given above exists when there is a number that can make both the numerator & the denominator = 0

so plug -3 in the x of the function & you'll get 0/0 which is indeterminate & thus implies the existence of a hole

Answer 2

• y=(x+3)/(x-4)(x+3)

For finding the hole

make the denominator and numerator zero.

• (x-4)(x+3)=0
• x=4 and -3

Or

• x+3=0
• x=-3

-3 is common

So

The hole is at

• x=-3