🎉Supercharge the final leg of your CAT journey with our Percentile Booster – the push you need for top scores! 🎉

CAT 2017 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Functions Questions | Question 23

In order to prepare for the CAT Examcomprehensively, it is of utmost importance that you go through the CAT previous year paper to brace yourself for the googly that CAT Exam can throw at you. CAT 2017 Question Paper is your starting point! Don't wait, start right away with this question from functions taken from CAT Question Paper 2017 Slot 2. Do not look at the solution provided, solve the question yourself and kickstart your CAT Preparation Online .

Question 23 : 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

  1. 16
  2. 18
  3. 36
  4. 40

🎉 Supercharge the final leg of your CAT journey with our Percentile Booster – the push you need for top scores! 🎉


Register Now


Video Explanation


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2022
Limited Seats Available - Register Now!


Explanatory Answer

Method of solving this CAT Question from Functions

Given that f(x) = x2 and g(x) = 2x.
We have to find the value of f(f(g(x)) + g(f(x))) at x = 1,
⟹ g(1) = 21 = 2 ; f(1) = 12 = 1
First, let us find the value of f(g(x)) + g(f(x)) at x = 1,
⟹ f(g(1)) + g(f(1)) = f(2) + g(1)
⟹ 22 + 2
⟹ 6
Therefore, f(g(1)) + g(f(1)) = 6.
The value of f(f(g(1)) + g(f(1))) = f(6)
⟹ f(6) = x2 = 62 = 36

The question is "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"

Hence, the answer is 36

Choice C is the correct answer

 

CAT Questions | CAT Quantitative Aptitude

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com