Mathematics · JEE | RELATIONS AND FUNCTIONS

Let \( f(x) = x^2 \) and \( g(x) = 2x + 1 \). What is the expression for \( (\frac{f}{g})(x) \) along with its domain?

1. A
   \( \frac{x^2}{2x+1}, x \in \mathbf{R} \)
2. B
   \( \frac{x^2}{2x+1}, x \neq \frac{1}{2} \)
3. C
   \( \frac{2x+1}{x^2}, x \neq 0 \)
4. D
   \( \frac{x^2}{2x+1}, x \neq -\frac{1}{2} \)