CAT Quantitative Aptitude Questions | CAT Algebra - Functions questions

CAT Questions | Algebra | Functions - Domain of Function

The question is about Domain of Function. Our task is to find the domain of a function which contains log and square root. Functions is a simple topic which involves a lot of basic ideas. Make sure that you a get of hold of them by solving these questions. A range of CAT questions can be asked based on this simple concept of Functions questions in the CAT Exam. Make sure you practice a lot of questions in CAT Functions Algebra to push your CAT preparation in the right direction. Functions as an idea is a fabulous idea if one can wrap their head around it the right way, and it has been one of the staple ideas tested by the CAT exam historically.

Question 14: Find the domain of: \\frac{1}{(1-log (9-x))}\\) + √(x+1)?

  1. (-∞,9)
  2. [-1,9)
  3. [-1,9) excluding 0
  4. (-1,9)

2IIM : Best Online CAT Coaching


2IIM's Online CAT Coaching
Get CAT Last Mile Prep Course for 799 /-
CAT Online Coaching


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2020
Starts Sat, November 2nd, 2019


Explanatory Answer

Method of solving this CAT Question from CAT Algebra - Functions: Domain of a log function.

In the expression,
9-x > 0
=> x < 9

Also, 1-log ( 9-x) ≠ 0
=> log (9 – x) ≠ 1
=> 9-x ≠ 10
=> x ≠ -1
And, x + 1 > 0
=> x > -1

The question is "Find the domain of: \\frac{1}{(1-log (9-x))}\\) + √(x+1)?"

Hence the answer is "(-1,9)"

Choice D is the correct answer.

 


CAT Online Coaching | CAT Algebra Videos On YouTube


Other useful sources for Algebra Questions | Functions Sample Questions


CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

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?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com