JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

f(x+y)=f(x y) \, \forall \, x, y \in \mathbf{R}

, and

f(2013)

=2013

, then

f(-2013)

equals

View answer and explanation

Correct option: A

2013

Option A (2013) is correct because f(x+y) = f(xy) implies that f is a constant function, and since f(2013) = 2013, then f(-2013) must also be 2013.

More Questions from FUNCTIONS

Practice All Chapter MCQs →

f:(-\infty, 2] \longrightarrow(-\infty, 4]

f(x)=x(4-x)

f^{-1}(x)

g(f(x))=|\sin x|

f(g(x))=(\sin \sqrt{x})^2

f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

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

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

f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

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