Answer:
[tex]D=(-\infty,2)\cup (2,\infty), \{x|x\neq2\}[/tex]
Step-by-step explanation:
Given : Rational function [tex]f(x)=\frac{13}{2-x}[/tex]
To find : State the domain of the rational function ?
Solution :
The domain of a rational function is defined as function consists of all the real numbers x except those for which the denominator is 0.
Rational function [tex]f(x)=\frac{13}{2-x}[/tex]
Denominator = [tex]2-x[/tex]
Put denominator = 0
[tex]2-x=0[/tex]
[tex]x=2[/tex]
Therefore, The domain of the rational function is all real numbers except 2.
or [tex]D=(-\infty,2)\cup (2,\infty), \{x|x\neq2\}[/tex]
