Question

State the domain of the rational function f(x) = thirteen divided by quantity two minus x.

Answer 1

Denominators of fractions cannot be zero, therefore the domain is all real numbers besides 2, for that is the only number that will falsify the fraction

Answer 2

Answer:

$D=(-\infty,2)\cup (2,\infty), \{x|x\neq2\}$

Step-by-step explanation:

Given : Rational function $f(x)=\frac{13}{2-x}$

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 $f(x)=\frac{13}{2-x}$

Denominator = $2-x$

Put denominator = 0

$2-x=0$

$x=2$

Therefore, The domain of the rational function is all real numbers except 2.

or $D=(-\infty,2)\cup (2,\infty), \{x|x\neq2\}$