JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

f:R \to R

satisfies

f\left( {x + y} \right) = f\left( x \right) + f\left( y \right)

, for all

x,\;y \in R\;and\;f\left( 1 \right) = 7

, then

\sum \limits_{r = 1}^n f\left( r \right)

View answer and explanation

Correct option: D

\frac{{7n\left( {n + 1} \right)}}{2}

Option D (

\frac{{7n\left( {n + 1} \right)}}{2}

) is correct because it represents the sum of the series where each term is a multiple of 7 based on the given functional equation.

More Questions from FUNCTIONS

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

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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\}