The functions f and g are given by f(x)={x} the fractional part of x and g(x)=12sin[x]π, where [x] denotes the integral part of x. Then range of gof is
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a
[−1,1]
b
{0}
c
{−1, 1}
d
[0, 1]
answer is B.
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Detailed Solution
(gof)(x)=g(f(x))=12sin[{x}]π=0, for all x ∈ R. Hence the range of gof is {0}.