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 , +∞).


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