Functions

Algebra Level 2

Find one real valued function such that: f ( f ( f ( f ( . . . . . . f ( x ) ) ) ) ) . . . ) ) = x f(f(f(f(......f(x)))))...))=x

f ( x ) = arcsin ⁡ ( arcsin ⁡ ( . . . ( arcsin ⁡ x ) . . . ) ) f(x)=\arcsin(\arcsin(...(\arcsin x)...)) f ( x ) = x f(x)=x f ( x ) = cos ⁡ x f(x)=\cos x f ( x ) = sin ⁡ ( sin ⁡ ( . . . ( sin ⁡ x ) . . . ) ) f(x)=\sin(\sin(...(\sin x)...))

Rajdeep Ghosh by Rajdeep Ghosh , 17, India

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.

1 solution

Rajdeep Ghosh
May 17, 2017

The answer is obvious since if f ( x ) = x f(x)=x Then the whole function breaks down to the original functional equation.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...