Construct a rational function whose domain is all real numbers. Provide evidence as to why the domain of your rational function is all real numbers.

Lewis Harvey

Lewis Harvey

Answered question

2021-03-06

Construct a rational function whose domain is all real numbers. Provide evidence as to why the domain of your rational function is all real numbers.

Answer & Explanation

Aubree Mcintyre

Aubree Mcintyre

Skilled2021-03-07Added 73 answers

Let us take: f(x)=xx2+1
For f(x) the domain is all real numbers because for this function denominator can never be 0.
If x2+1=0
then, x2=1
or, x=±(1)= no solution
That means there is no real number x for which x2+1=0.
So all real values are possible for this function. That gives domain= all real numbers

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