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Let ` f (x) = [x] and g (x ) =|x| , AA x in R ` then value of ` gof (( - 5 ) /(3)) + fog (( - 5)/(3)) ` is equal to: ( where ` f _ 0 g (x) = f (g (x)))`.

A

` 1 `

B

` - 1 `

C

` - 2 `

D

` 3 `

Text Solution

Verified by Experts

The correct Answer is:
D
`f(x) = [x], g (x) = |X|`
`g(f(x)) + f(g(x))`
`= |[x]| + |[x]|`
`= |[(-5)/(3)]| + [|(-5)/(3)|]`
` = |-2| + [(5)/(3)] = 2 + 1 = 3`
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