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4

Let f : R → R be defined by

Find (i) f(2) (ii) f(4) (iii) f( - 1) (iv) f( - 3).

8

Let f : R → R : f(x) (2x - 3) and

Show that (f o g) = I_{R} = (g o f).

7

Let R_{0} be the set of all nonzero real numbers. Then, show that the function is one-one and onto.

4

Let . Show that f is invertible and find f^{-1}.