If, a > 0 and n ∈ N, then prove that f[f(x)] = x for all x.

8

If, show that f(tanθ) = sin2θ.

9

If, then show that

i.

ii.

11

If for non-zero x,, where a ≠ b, then find f(x).

1

Find the domain of each of the following real valued functions of real variable:

i.

ii.

iii.

iv.

v.