Find the Domain (48x^7-32x^5-56x^3)/(8x^3)

Problem

Domain of (48*x7−32*x5−56*x3)/(8*x3)

Solution

1. Identify the condition for the domain of a rational function, which requires that the denominator cannot be equal to zero.

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

8*x3=0

3. Solve for x by dividing both sides by 8 and taking the cube root.

x3=0

x=0

4. State the domain as all real numbers except for the value that makes the denominator zero.

{x|x≠0}

Final Answer

Domain: *(−∞,0)∪(0,∞)

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