Q. 43.9( 83 Votes )

Find the domain a

Answer :

Given: f(x) = √(x - 1)

To Find: Domain and Range of f(x)

Now for real values of f(x), x≥1.

Thus,

√(x - 1) is defined for x≥1.


Hence, the domain of f is the set of all real numbers greater than or equal to 1 i.e., the domain of f = [1, ∞).

Now for Range,

As, x ≥ 1, x - 1 ≥ 0

And thus √x - 1 ≥ 0

Hence, the Range of f is the set of all real numbers greater than or equal to 0 i.e., the 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 :

A function f is dNCERT - Maths

Which of the follNCERT - Maths

Find the domain oNCERT - Maths