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JEE Advanced 2020 Full Test 3 Paper 2

Paragraph for Question Nos. 53 and 54

Let f be an even function satisfying f(x−2)=f(x+[‌

6x2+13

x2+2

])‌∀x∈R and
f(x)={

3x	‌	0≤x<1
4−x	‌	1≤x≤4.

[Note: [y] denotes greatest integer function of y.]

Question : 54

Total: 54

The value of f(−89)−f(−67)+f(46) is equal to :

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