Find the domain of fx2X over 3xSolutionfx 2x3x Since divisio

Find the domain of f(x)=2+X over 3-x

Solution

f(x) =(2+x)/(3-x)

Since division by zero is not defined, we cannot have denominator equals to zero.

3-x =0

3=x

x=3

So domain is all Real number except the value x =3.

This can be wrriten in interval Notation as

(-infinity ,3 )U (3, infinity)