find the domain of the function f x 2x3 x8SolutionNumerator

find the domain of the function: f (x)= 2x3/ x8

Solution

Numerator and denominator both are linear

2x - 3 and x - 8 cannot be simplified any further

So, the rule is : Denominator cannot be 0

x - 8 not equal to 0

x not equal to 8

So, domain is :
x can be any value except 8

In interval form, this is :
(-inf , 8) U (8 , inf)