1.

If f(x) and g(x) are continuous functions, fog is identity function, g'(b) = 5 and g(b) = a then f'(a) is (1) 2/5(2) 1/5(3) 3/5(4) 5

Answer»

Answer is (2)

f(g(x)) = x

⇒ f'(g(x)).g'(x) = 1

Put x = b

⇒ f'(g(b)) g'(b) = 1

⇒ f'(a) x 5 = 1

⇒ f'(a) = 1/5



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