Determine the Domain of the Function $f ( x ) = \frac { 1 - 2 x } { x ^ { 3 } - 20 x ^ { 2 } + 96 x }$

question 129

Multiple Choice

Determine the domain of the function.
- $f ( x ) = \frac { 1 - 2 x } { x ^ { 3 } - 20 x ^ { 2 } + 96 x }$

• A) \(\left\{ x \mid x \neq 12 , x \neq 8 , x \neq \frac { 1 } { 2 } \text {, and } x \neq 0 \right\}\)
• B) \(\{ x \mid x \neq - 12 , x \neq 8 \text {, and } x \neq 0 \}\)
• C) \(\left\{ x \mid x \neq 12 , x \neq 8 , \text { and } x \neq \frac { 1 } { 2 } \right\}\)
• D) \(\{ x \mid x \neq 12 , x \neq 8 , \text { and } x \neq 0 \}\)

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Definitions:

Increase in Cost

A financial term indicating a rise in expenses or prices, affecting the overall cost structure of a business or the price level in an economy.

Internal Rate of Return (IRR)

The discount rate that makes the net present value (NPV) of all cash flows from a particular project zero, used to assess the profitability of potential investments.

Mutually Exclusive Project

Projects where the acceptance of one project means the others cannot be pursued due to constraints like budget, resources, or project scope.

Net Present Value (NPV)

Net Present Value is the difference between the present value of cash inflows and outflows over a period of time, used in capital budgeting to assess the profitability of an investment.