Find the domain and the range of the real function f defined by f(x) = $$\sqrt{(x – 1)}$$.

Asked by Abhisek | 1 year ago |  147

##### Solution :-

We have the given function as,f(x) = $$\sqrt{x-1}$$

Clearly, the term inside the root sign must be non-negative.

So, the function is valid for all values of x ≥ 1 .

Thus, the domain of the function will be, [1, ∞) .

Now, again, for x ≥ 1, the value of the function will always be greater than or equal to zero.

So, the range of the function is, [0, ∞).

Answered by Pragya Singh | 1 year ago

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