JEE MATHEMATICS MCQ: FUNCTIONS

1 Medium

1 of 1

Application +4 | -1

Let

f(x)

be a function such that

f(x+y)=f(x) \cdot f(y)

for all

x, y \in \mathbb{N}

. If

f(1)=3

and

\sum\limits_{{k=1}}^{n} f(k)=3279

, then the value of

n

View answer and explanation

Correct option: D

Option D (7) is correct because it involves solving a functional equation and a geometric series.

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\}