Question

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

Answer 1

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!