Range of the function $f(x)=\cos^{-1}(-\{x\})$, where {.} is fractional part function is:
Answer & explanation
Correct answer: option 3
$y=\cos^{-1}(-\{x\})$ As {x} ∈ [0, 1) $⇒\frac{π}{2}≤\cos^{-1}(-\{x\})<π$
$⇒y∈[\frac{π}{2},π)$
Range of the function $f(x)=\cos^{-1}(-\{x\})$, where {.} is fractional part function is:
Correct answer: option 3
$y=\cos^{-1}(-\{x\})$ As {x} ∈ [0, 1) $⇒\frac{π}{2}≤\cos^{-1}(-\{x\})<π$
$⇒y∈[\frac{π}{2},π)$