Hiii can you pls help me what is the definition domain of (1+x)/(1+x^2)?

1 Answer
Oct 21, 2017

All real numbers.

Explanation:

Hey there!

So I'm not 100% sure on what a 'definition domain' is, but I'm going to assume that you just mean the domain.

For a fraction with polynomials like this, the domain will be all real numbers except when the denominator equals #0# (since you can't divide by #0#).

So for #(1+x)/(1+x^2)#, the domain is all real numbers except when #1+x^2 = 0#.

Subtracting #1# from both sides will yield the equation #x^2 = -1#, which is impossible because any real number squared will be positive.

Hope this helps!