1. Tardigrade
  2. Question
  3. Mathematics
  4. Let f be an even function satisfying f ( x -2)= f ( x +[(6 x 2+13/ x 2+2)]) ∀ x ∈ R and f(x)= begincases3 x, 0 ≤ x< 1 4-x, 1 ≤ x ≤ 4 endcases Note: [.] denotes greatest integer function of .x) then the value of f (-89)- f (-67)+ f (46) is equal to

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Q. Let $f$ be an even function satisfying $f ( x -2)= f \left( x +\left[\frac{6 x ^2+13}{ x ^2+2}\right]\right) \forall x \in R$ and $f(x)=\begin{cases}3 x, & 0 \leq x< 1 \\ 4-x, & 1 \leq x \leq 4\end{cases}$ Note : [.] denotes greatest integer function of $\left.x\right)$ then the value of $f (-89)- f (-67)+ f (46)$ is equal to

JEE AdvancedJEE Advanced 2018

Solution:

Correct answer is '4'