Answer:
(A)[tex](-\infty, 2)(2, \infty)[/tex]
(−[infinity], 2) (2, [infinity])
Step-by-step explanation:
Given the rational function, f(x) such that:
[tex]f(x)=\dfrac{x+1}{x-2}[/tex]
The domain of the function are the values of x for which f(x) is defined.
A rational function is undefined when its denominator equals zero.
Denominator of f(x)=x-2
x-2=0
x=2
Therefore, f(x) is undefined at x=2.
The domain of f(x) is all therefore all real numbers excluding 2.
This is written in set notation as:
[tex](-\infty, 2)(2, \infty)[/tex]
The correct option is A.
