1.

Letf (x)=[x]andg (x )=|x| ,AAxin Rthen valueofgof (( - 5 ) /(3))+fog((- 5)/(3))isequal to:( wheref _0 g (x)=f (g (x))).

Answer»

` 1 `
` - 1 `
` - 2 `
` 3 `

SOLUTION :`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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