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Let y = f(1/x) and f′(x) = x³. What is the value of dy/dx at x = 1/2 ?
Find gof and fog, if f : R → R and g : R → R are given by f(x) = cos x and g (x) = 3x2. Show that gof ≠ fog.
If the function f: R→R be defined as f(x) = (3x+4)/(5x−7), (x≠7/5) and g: R→R be defined as g(x) = (7x+4)/(5x−3), (x≠3/5) show that (g o f)(x) = (f o g)(x).
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