# What's the range and domain of f(x)=1/(root(x^2+3))? and how to prove it's not one to one function?

##### 1 Answer

Apr 14, 2018

Please see the explanation below.

#### Explanation:

a) The domain of f:

The range of f:

b) If f: ℝ → ℝ , then f is a one to one function when f(a) = f(b) and

a = b, on the other hand when f(a) = f(b) but a ≠ b, then the function f is not one to one, so in this case:

f(-1) = f(1) = 1/2, but -1 ≠ 1, hence the function f is not one to one on its domain.