Clearly, f(x) is defined for all real values of x, except for the case when cx – d = 0 or.

When, f(x) will be undefined as the division result will be indeterminate.

Thus, domain of f = R –

Let f(x) = y

⇒ ax – b = y(cx – d)

⇒ ax – b = cxy – dy

⇒ ax – cxy = b – dy

⇒ x(a – cy) = b – dy

Clearly, when a – cy = 0 or, x will be undefined as the division result will be indeterminate.

Hence, f(x) cannot take the value.

Thus, range of f = R –