JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

Let

[t]

denote the greatest integer

\le t.

Then the equation

x,[{x^2}] + 2[x + 2] - 7 = 0

has

View answer and explanation

Correct option: A

Infinitely many solutions

Option A (Infinitely many solutions) is correct because the equation simplifies to a condition on [x], leading to intervals of solutions.

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

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S=\left\{x: f(x)=f^{-1}(x)\right\}