RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 3. Functions

Subject: Maths - Class 11th

Q. No. 20 of Exercise 3F

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

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 , +∞).

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