Problem

Problem

Passage - 4 (Question 68 to 69) Let

f

be an even function satisfying

f(x-2) = f\left(x + \left[\frac{6x^2+13}{x^2+2}\right]\right) \forall x \in R

and

f(x) = \begin{cases} 3x, & 0 \leq x < 1 \\ 4-x, & 1 \leq x \leq 4 \end{cases}

[Note :

[y]

denotes greatest integer function of

y

] The area bounded by the graph of

f(x)

and the

x

-axis from

x = -1

to

x = 9

is (a)

\frac{31}{2}

(b) 15 (c) 12 (d)

\frac{15}{2}

Browse the problem library