RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 3. Functions

Subject: Maths - Class 11th

Q. No. 19 of Exercise 3F

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19

Write the domain and the range of the function,.

(i) domain



As f(x) is a polynomial function whose domain is R except for the points where the denominator becomes 0.


Hence x≠


Domain is R-{}


(ii) range


Let y=


Y(bx-a) = ax +b


byx -ay = ax + b


byx -ax= ay +b


x(by -a) = ay + b


x =


x is not defined when denominator is zero.


by – a ≠ 0


y≠a/b


Range is R-{a/b}.


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