Q. 205.0( 1 Vote )

Write the domain and the range of the function, f(x) = .

Answer :

The graph of f(x) is

(i) domain

Domain for is [0, ∞).

Hence, domain for is [1, ∞).

(ii) Range

As the range of function f(x) = √x is given by the interval [0 , +∞).

The graph of the given function f(x) = √x - 1 is the graph of √ x shifted 1 unit to the right. A shift to the right does not affect the range.

Hence the range of f(x) = √x - 1 is also given by the interval: [ 0 , +∞).

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigonometric Functions - 0568 mins
Trigonometric Functions - 0152 mins
Conditional IdentitiesFREE Class
Trigonometric Functions - 0658 mins
Questions Discussion of BiomoleculesFREE Class
Trigonometric Functions - 0366 mins
Trigonometric Functions - 0865 mins
Trigonometric Functions - 0760 mins
Master Solving Problems of trigonometry45 mins
Let's Play the Game of Inequalities52 mins
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
view all courses