JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Suppose

f: \mathrm{R} \rightarrow(0, \infty)

be a differentiable function such that

5 f(x+y)=f(x) \cdot f(y), \forall x, y \in \mathrm{R}

. If

f(3)=320

, then

\sum\limits_{{n=0}}^5 f(n)

is equal to

View answer and explanation

Correct option: A

6825

Option A (6825) is correct because it is the sum of the function values from n=0 to n=5, given the functional equation and f(3)=320.

More Questions from FUNCTIONS

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

f(x)=x(4-x)

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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\}