JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

f: N \rightarrow N

where

N

is set of natural numbers be a function such that

f(x+y)=f(x y) \, \forall \, x \geq 4

and

y \geq 4

, then

View answer and explanation

Correct option: B

f(8)=f(9)

Option B (

f(8)=f(9)

) is correct because it is derived from the given functional equation by substituting appropriate values for x and y.

More Questions from FUNCTIONS

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

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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\}