Question

If f(x) = 1/(1 - x) then f(f(f(x))) =​

Answer 1

Solution:

Given f(x) = 1/(1-x)

f(f(x) =

1

1

−

1

1

−

x

= (x-1)/x

f(f(f(x))) = f((x-1)/x)

=

1

1

−

x

−

1

x

= x/(x-x+1)

= x

Differentiate w.r.t.x

dy/dx = 1