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Home  >>  AIMS  >>  Class11  >>  Math  >>  Relations and Functions
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Let f(x) = and g(x) = $ \sqrt x$ be two functions defined over the set of non-negative real numbers. Find (f + g) (x), (f – g) (x), (fg) (x) and $ \bigg( \large\frac{f}{g} \bigg) (x)$.

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We have (f + g) (x) = $ \sqrt x + x, (f-g) (x) = \sqrt x - x$
$(fg)x= \sqrt x (x)=x^{\large\frac{3}{2}}$ and $ \bigg( \large\frac{f}{g} \bigg) (x) = \large\frac{\sqrt x }{x} = x ^{-\large\frac{1}{2}}, x \neq 0$
answered Jun 26, 2014 by thanvigandhi_1

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