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Question

Quantitative Aptitude Question on Functions

Let f(x) = x2 and g(x) = 2X , for all real x. Then the value of f( f(g(x)) + g(f(x)) ) at x = 1 is

A

16

B

18

C

36

D

40

Answer

36

Explanation

Solution

The correct answer is (C):
f [f(2x) + g(x2)]
as x = 1,
f [f(2) + g(1)]
= f [22 + 21]
= f [6] = 62
= 36