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Functions question

2014 · Shift 2 · Q40

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PYQ Library
JEE Advanced
Mathematics
Functions
2014 · Shift 2 · Q40

Functions question

2014 · Shift 2 · Q40

JEE AdvancedMathematicsFunctionsMCQ+3 / −1

Let f1 : R

\to

R, f2 : [0,

\infty

)

\to

R, f3 : R

\to

R, and f4 : R

\to

[0,

\infty

) be defined by

{f_1}\left( x \right) = \left\{ {\begin{matrix} {\left| x \right|} & {if\,x \lt 0,} \\ {{e^x}} & {if\,x \ge 0;} \\ \end{matrix} } \right.

f2(x) = x2 ;

{f_3}\left( x \right) = \left\{ {\begin{matrix} {\sin x} & {if\,x \lt 0,} \\ x & {if\,x \ge 0;} \\ \end{matrix} } \right.

and

{f_4}\left( x \right) = \left\{ {\begin{matrix} {{f_2}\left( {{f_1}\left( x \right)} \right)} & {if\,x \lt 0,} \\ {{f_2}\left( {{f_1}\left( x \right)} \right) - 1} & {if\,x \ge 0;} \\ \end{matrix} } \right.

JEE Advanced 2014 Paper 2 Offline Mathematics - Functions Question 15 English

A
P - 3, Q - 1, R - 4, S - 2
B
P - 1, Q - 3, R - 4, S - 2
C
P - 3, Q - 1, R - 2, S - 4
D
P - 1, Q - 3, R - 2, S - 4

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