Find the Domain (56x^5-49x^3+8x^2)/(7x^2)

Problem

Domain of (56*x5−49*x3+8*x2)/(7*x2)

Solution

1. Identify the type of function. This is a rational function, which is defined for all real numbers except where the denominator is equal to zero.

2. Set the denominator equal to zero to find the excluded values.

7*x2=0

3. Solve for x by dividing both sides by 7 and taking the square root.

x2=0

x=0

4. State the domain by excluding the value x=0 from the set of all real numbers. In interval notation, this is the union of all numbers less than zero and all numbers greater than zero.

Final Answer

Domain: *(−∞,0)∪(0,∞)

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