2015_31 Simple and elegant Part 2

Calculus Level pending

Let f ( x ) f\left( x \right) be a real valued function not identically zero such that f ( x + y n ) = f ( x ) + ( f ( y ) ) n x , y ϵ R f\left( x+{ y }^{ n } \right) =f\left( x \right) +{ (f(y)) }^{ n }\quad \forall x,y\epsilon R where n ϵ N ( n 1 ) n\epsilon N(n\neq 1) and f ( 0 ) 0 f^{ ' }\left( 0 \right) \ge 0 we may get an explixity form of the function f ( x ) f\left( x \right) .

Then the value of f ( 5 ) f\left( 5 \right) is?

For part one of the above question, click here

For part three of the above question, click here

For more questions related to maths, Click here

3 5 n 5n 5 2

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

0 solutions

No explanations have been posted yet. Check back later!

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...