Let $f(x) = x^{2}$ and $g(x) = 2x + 1$ be two real functions. Find $(f+g)(x)$,$(f-g)(x)$,$(fg)(x)$,and $(\frac{f}{g})(x)$.
- A$(f+g)(x) = x^{2}+2x+1, (f-g)(x) = x^{2}-2x-1, (fg)(x) = 2x^{3}+x^{2}, (\frac{f}{g})(x) = \frac{x^{2}}{2x+1}, x \neq -\frac{1}{2}$
- B$(f+g)(x) = x^{2}+2x+1, (f-g)(x) = x^{2}-2x+1, (fg)(x) = 2x^{3}+x^{2}, (\frac{f}{g})(x) = \frac{x^{2}}{2x+1}, x \neq -\frac{1}{2}$
- C$(f+g)(x) = x^{2}+2x-1, (f-g)(x) = x^{2}-2x-1, (fg)(x) = 2x^{3}-x^{2}, (\frac{f}{g})(x) = \frac{x^{2}}{2x+1}, x \neq -\frac{1}{2}$
- D$(f+g)(x) = x^{2}-2x+1, (f-g)(x) = x^{2}+2x+1, (fg)(x) = 2x^{3}+x^{2}, (\frac{f}{g})(x) = \frac{x^{2}}{2x+1}, x \neq -\frac{1}{2}$
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