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State the domain of the rational function

f(x) = 13/10 - x
State the domain of the National tuncion

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

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

User Fishinear
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