Q4 of 73 Page 125

. 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,



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