A parameter for whole-domain existence
A parameter for whole-domain existence
4 marks
TGM Original
Let f(x)=sqrt(x-4), x 4, and g(x)=2(x-1)2+a, x in R. Find all real values of a for which fg is defined for every real input. State its range when a=6.
Solution:
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Answer:\(a\ge4\); when \(a=6\), range \([\sqrt2,\infty)\).
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