InterviewSolution
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InterviewSolution
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Let f (x ) and g(x) be increasing and decreasing functions respectively from `[0,oo) "to" [ 0 , oo)` Let h (x) = fog (x) If h(0) =0 then h(x) isA. always 0B. always positiveC. always negativeD. strictly increasing |
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Answer» Correct Answer - A since composition of an increasing function and a decreasing function is always a decreasing fuction .Therefore h(x)` [ 0, oo) rarr [0,oo)`is a decreasing function . `h(x) le 0 for all x le 0` `rArr h(x) =0 for all x ge 0 " "[{:(because h(x)in [0","oo)),(rArr h(x) ge 0 for all x in [0","oo)):}]` |
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