The domain function of the function f given by f(x) = x³ + 2x² – 4x + 5/ x² -2x – 3 is
Master the topic of Relations and Functions with these thoughtfully designed MCQs from Chapter 2 of Class 11 NCERT Mathematics (CBSE 2024-25). This chapter covers important concepts such as types of relations, domain, co-domain, function composition and different kinds of functions like one-to-one and onto. These multiple-choice questions are crafted to test your understanding and improve problem-solving skills. Perfect for exam preparation or self-study, these MCQs offer an engaging way to solidify your knowledge and build confidence in mastering Relations and Functions.
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Choice (c) is correct. The function f is defined for all values of x except when x² – 2x – 3 = 0
x² – 2x – 3 = 0 ⇒ x² + x -3x – 3 = 0 ⇒ x(x +1) -3(x +1) = 0
(x + 1) (x – 3) = 0 ⇒ x =-1 or x = 3
Hence, the domain of the function is the set of all real numbers except x = 3 or x = -1. Domain of function f = R – {-1, 3}
This question related to Chapter 2 maths Class 11th NCERT. From the Chapter 2: Relations and Functions. Give answer according to your understanding.
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