Question

State the domain of the rational function

Answer 1

The rational function is defined as a polynomial of two parts. That is numerator and denominator i.e., denominator should not be zero.

Step-by-step explanation:

       The given function is f(x)=13/10-x

Step:1

     apply values to the term x in the given function,

     Take X=1,

      the equation becomes

      f(1)=13/10-1

      f(1)=1.444

      Take X=2,

      the equation becomes,

      f(2)=13/10-8

      f(2)=1.625

similarly,

     f(3)=1.857,

     f(4)=2.167,

     f(5)=2.60,

     f(6)=3.25,

     f(7)=4.33,

     f(8)=6.50,

     f(9)=13,

but for f(10)= 13/10-10

           f(10)=∞

    f(11)=-13,

     f(12)=-6.5,

     f(13)=4.33,.. etc

so, f(x) is positive when the X value is less than 10.

     f(x) is negative when the X value is more than 10.

but f(10)=∞ is never possible

     Therefore, all the numbers are correctly apted expect zero