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Consider the function f(1) (x) =x and f ...

Consider the function `f_(1) (x) =x and f _(2)(x)=2+ log _(e) x,x gt 0,` where e is the base of natural logarithm, The graphs of the functions intersect:

A

once in `(0,1)` and never in `(1,oo)`

B

once in `(0,1)` and once in `(e ^(2) , oo)`

C

once in `(0,1)` and one in `(e, e ^(2))`

D

more than twice in `(0,oo)`

Text Solution

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The correct Answer is:
C
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