State the domain of the rational function

f (x) = 13/10 - x

State the domain of the National tuncion

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