. Let f: R → R; f(x)= ,where c is a constant. Find

(i) (cf) (x)

(ii) (c² f) (x)

(iii)

Given:

f(x)=

(i) To find:(cf) (x)

(cf)(x) = c.f(x)

=c.

= x

Therefore,

(cf)(x) = x

(ii) To find: (c²f) (x)

(c²f) (x) = c². f(x)

= c.

= cx

Therefore,

(c²f) (x) = cx

(iii) To find

= .f(x)

Therefore,