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asked ago in Mathematics by (53.5k points)

Consider f(x) = log[x] [x] where [.] is the greatest integer function and {x} is fractional part function.

1.  f(x)  is

(A)  a one-one function

(B)  a many-one function

(C)  a odd function

(D)  a periodic function

2.  Consider the inequality f(x) < 2. Number of solutions of this inequality in x  (1, 2) is/are

(A)  0

(B)  1

(C)  3

(D) infinitely many

1 Answer

+1 vote
answered ago by (20.7k points)
selected ago by
 
Best answer

Correct option  1.  (B) a many-one function 2.  (D) infinitely many

Explanation:

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