The Function F Is One-To-One $$f ( x ) = \frac { 4 } { 7 x - 5 }$$

question 34

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = \frac { 4 } { 7 x - 5 }$$

• A) \(f ^ { - 1 } ( x ) = \frac { 4 + 5 x } { 7 x }\)
• B) \(f ^ { - 1 } ( x ) = \frac { - 5 x - 4 } { 7 x }\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 7 \mathrm { x } - 5 } { 4 }\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 4 + 5 \mathrm { y } } { 7 \mathrm { y } }\)

---

Definitions:

Segment Margin

The profit or loss generated by a particular segment of a business, after accounting for direct and indirect costs.

Net Operating Income

The profit generated from a company's operational activities after deducting operating expenses from operating revenues.

Net Operating Income

A measure of a company's profitability, calculated by subtracting operating expenses from gross profit.

Variable Costing

A costing method that includes only variable production costs (material, labor, and overhead) in the cost of manufactured goods, treating fixed overhead costs as period expenses.