Question

f(x)=kx and f(f(x))=X,then=​

Answer 1

Step-by-step explanation:

f(x)=x

f(f(x))=x means f of f of x

=f(x)

=(x)^2

Answer:- (x)^2

Hope this is helpful

Answer 2

SOLUTION

GIVEN

f(x) = kx and f(f(x)) = x

TO DETERMINE

The value of k

EVALUATION

Here it is given that f(x) = kx and f(f(x)) = x

Now

$\sf \: f(f(x)) = xf(f(x))=x$

$\sf \implies f(kx) = x$

$\sf \implies k.kx= x$

$\sf \implies {k}^{2} x= x$

$\sf \implies {k}^{2} = 1$

$\sf \implies k = \pm \: 1$

FINAL ANSWER

Hence the required value of k = - 1 , 1

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