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CAT 2017 [slot 2] Question with solution 23

Question 57:
Let $f(x) = x^{2}$ and $g(x) = 2^{x}$, for all real x. Then the value of f(f(g(x)) + g(f(x)) ) at x = 1 is
  1. 16
  2. 18
  3. 36
  4. 40
Option: 3
Explanation:

$f[f(g(1)) + g(f(1))]$
= $f[f(2^1) + g(1^2)]$
= $f[f(2) + g(1)]$
= $f[2^2 + 2^1]$
= $f(6)$
= $6^2 = 36$


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