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Find the range of f (x) = √(x - 1) + √(x - 1).

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Find the range of f (x) = √(x - 1) + √(x - 1).
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We have

f(x) = √(x - 1) + √(7 - x)

The domain of f(x) is [1, 7].

Now, f(1) = √6,f(4) = 2√3 and f(7) = √6.  

Hence, the range of f(x) is [√6,2√3].

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