The rational function is defined as a polynomial of two parts. That is numerator and denominator i.e., the denominator should not be zero.
The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0. Additionally, we can define special functions with more constrained domains.
Consider an example to solve a domain of the rational function.
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
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.
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