Q. 204.7( 12 Votes )

Find the domain a

Answer :

f(x) = |x – 1|


We know


Now, we have



Hence, f(x) is defined for all real numbers x.


Thus, domain of f = R


When x < 1, we have x – 1 < 0 or 1 – x > 0.


Hence, |x – 1| > 0 f(x) > 0


When x ≥ 1, we have x – 1 ≥ 0.


Hence, |x – 1| ≥ 0 f(x) ≥ 0


f(x) ≥ 0 or f(x) [0, ∞)


Thus, range of f = [0, ∞)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Which of the follNCERT - Maths