If fx - sin-x-x2-x-1- where - denotes the greatest integer function- then

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One - One function

If fx = sin...

Question

If $f (x) = \frac{sin ([x] π)}{x^{2} + x + 1}$ , where [.] denotes the greatest integer function, then

f

is one-one

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f

is not one-one and non-constant

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f

is a constant function

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none of these

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Solution

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Similar questions

f (x) = \frac{sin {[x] π}}{1 + x^{2}}

R

[x]

x

R

f (x) = \frac{[x] + 1}{{x} + 1}, f o r f : [0, \frac{5}{2}) \to (\frac{1}{2}, 3]

f (x) = \frac{[x^{2}] - 1}{x^{2} - 1}

x^{2} \neq 1

f (x) = f (- 1) = 0

[x]

f (x) = \frac{[x]}{| x |}, x \neq 0

f^{^{'}} (1)

f : R \to R

f (x) = 7 x - [7 x]

[\cdot]

x

x \in R

f

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