find the domain of the function f (x)= 2x3 x8SolutionNumerat.pdf

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The function f(x)=2x^3/x^8 is defined for all real numbers except 8. To find the domain, we determine that the numerator and denominator cannot be simplified further and that the denominator cannot equal 0. Therefore, the domain is all real numbers x except 8, or (-inf, 8) U (8, inf) in interval form.

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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)

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