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finlep [7]
3 years ago
8

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics
2 answers:
ANTONII [103]3 years ago
8 0
(x²+4x-12)/(x-2)=0
(x+6)(x-2)/(x-2)=0
x+6=0
x=-6
(-6,0)
riadik2000 [5.3K]3 years ago
6 0

Answer:   (2, 8)

<u>Step-by-step explanation:</u>

f(x)=\dfrac{x^2+4x-12}{x-2}\\\\.\quad=\dfrac{(x+6)(x-2)}{(x-2)}\\\\\text{The denominator cannot equal zero so x - 2}\neq 0\ \rightarrow\ x\neq 2\\\text{Since, (x-2) can be canceled out, there is a hole at x = 2}\\\\f(x)=x+6\\f(2)=2+6\\.\ \ \quad =8\\\\\text{So, the coordinate of the hole is:}\ (2, 8)

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