Find the Domain f(n)=n/(20-4n)

Problem

ƒ(n)=n/(20−4*n)

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 of n

20−4*n=0

3. Solve for n by first subtracting 20 from both sides of the equation.

−4*n=−20

4. Divide both sides by −4 to isolate the variable.

n=5

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

{[n∈ℝ,n≠5]}

Final Answer

Domain: *(−∞,5)∪(5,∞)

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