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

`D=(-\infty,2)\cup (2,\infty), \x\\eq2\`

Explanation:

Given : Rational function
`f(x)=(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)=(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\\eq2\`