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# Let f(x) = $x^2$ and g(x) = 2x + 1 be two real functions. Find $(f + g) (x), (f –g) (x), (fg) (x), \bigg( \large\frac{f}{g} \bigg) (x)$

We have, f + g (x) = f(x) + g(x) = $x^2$ + 2x + 1,
Similarly (f –g) (x) = $x^2$ – 2x – 1, (fg) (x) = $x^2$ (2x + 1) = $2x^3$ + $x^2$, $\bigg( \large\frac{f}{g} \bigg) (x) = \large\frac{x^2}{2x+1}, x \neq - \large\frac{1}{2}$