Q. 3 B4.0( 5 Votes )

Find the domain and range of each of the following real valued functions:


Answer :


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 –


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