Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Find range of the function f(x) = log 2 
(where [·] is greatest integer function)
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
{0, 1}
Sol. f(x) = log 2 [3x – 3[x] ] = log 2 [3{x}]
period 1.
so 0 ≤ {x} < 1
0 ≤ 3{x} < 3 ⇒ [3{x}] = 0, 1, 2
so range {log 2 1, log 2 2} = {0, 1}.
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