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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

If

y=3[x]+1=2[x-3]+5

, then find the value of

[x+y]

.

View answer and explanation

Correct option: D

-7

Option D (-7) is correct because solving the equation

3[x]+1=2[x-3]+5

yields

[x] = -2

, and then

y = -5

, so

[x+y] = [-2 - 5] = -7

.

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f\left( x \right) = x - \left[ x \right]

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