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May 25th, 2019, 06:43 AM   #1
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Function :- Domain Range Problem

Let f :R --> [1,∞) be defined as f(x) = log⁡(√(x^2 - 4x + K + 1) + 10) and if f(x) is surjective, then K is

Last edited by skipjack; May 25th, 2019 at 11:29 AM.
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May 25th, 2019, 07:20 AM   #2
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My answer has come k > 1/3 . Is it correct ?
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May 25th, 2019, 11:27 AM   #3
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It's incorrect.
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May 25th, 2019, 12:51 PM   #4
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$x^2-4x$ has a minimum ($-4$) at $x=2$, so to keep the square root argument non-negative you need $k\ge 3$.
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