Write the domain and the range of the function,.

(i) domain

As f(x) is a polynomial function whose domain is R except for the points where the denominator becomes 0.

Hence x≠

Domain is R-{}

(ii) range

Let y=

Y(bx-a) = ax +b

byx -ay = ax + b

byx -ax= ay +b

x(by -a) = ay + b

x =

x is not defined when denominator is zero.

by – a ≠ 0


Range is R-{a/b}.