Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If f(x) = sin{[x + 5] + {x – {x –{x}}} for x ∈ 
is invertible, where {.} and [.] represent fractional part and greatest integer functions respectively, then f –1 (x) is-
A
sin –1 x
B
C
sin –1 {x}
D
cos –1 {x}
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b,c)
{[x + 5] + {x – {x – {x}}}}
= {[x + 5] + {x – {[x]}}
= {[x + 5] + {x}} = {{x}} = {x}
so f(x) = sin{x} for x ∈ 
so f(x) = sinx
so f –1 (x) = sin –1 (x)
= sin –1 {x}
= 
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