Find the Domain (105x^4*(2x^3)-4x^2-2x+4)/(x+2)

Problem

(105*x4*(2*x3)−4*x2−2*x+4)/(x+2)

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 values that must be excluded from the domain.

x+2=0

3. Solve for x by subtracting 2 from both sides of the equation.

x=−2

4. State the domain as all real numbers except the value that makes the denominator zero. In interval notation, this excludes −2

(−∞,−2)∪(−2,∞)

Final Answer

Domain:(−∞,−2)∪(−2,∞)

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