3) Find the domain of f(x) = √X-1.
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Answer:
We have: f(x)=x−1−−−−−√
The value of the argument of any even root cannot be less than zero.
So, for the domain:
⇒x−1≥0
⇒x≥1
Domain: { x∈R|x≥1 }
Then, for the range:
The value of any even root also cannot be less than zero:
Range: { y∈R|y≥0 }
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