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Properties of Conjugate of a Complex Number

If f be the g...

Question

If f be the greater integer function and g be the modulus function, then $(g o f) (- \frac{5}{3}) - (f o g) (- \frac{5}{3})$ is?

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Solution

The correct option is A $1$
Given, $(g o f) (\frac{- 5}{3}) - (f o g) (\frac{- 5}{3})$

$= g {f (\frac{- 5}{3})} - f {g (\frac{- 5}{3})}$

$= g (- 2) - f (\frac{5}{3}) = 2 - 1 = 1$ .

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If f be the greater integer function and g be the modulus function, then (gof)(−53)−(fog)(−53) is?

The correct option is A 1Given, (gof)(−53)−(fog)(−53)=g{f(−53)}−f{g(−53)}=g(−2)−f(53)=2−1=1.

If f be the greater integer function and g be the modulus function, then $(g o f) (- \frac{5}{3}) - (f o g) (- \frac{5}{3})$ is?

The correct option is A $1$
Given, $(g o f) (\frac{- 5}{3}) - (f o g) (\frac{- 5}{3})$

$= g {f (\frac{- 5}{3})} - f {g (\frac{- 5}{3})}$

$= g (- 2) - f (\frac{5}{3}) = 2 - 1 = 1$ .