Find Functions F and G So That F $f \circ g = H$

question 40

Multiple Choice

Find functions f and g so that f $f \circ g = H$
- $$\mathrm { H } ( \mathrm { x } ) = \sqrt { \frac { 1 } { \mathrm { x } - 2 } }$$

• A) \(g ( x ) = \sqrt { x } ; f ( x ) = \frac { 1 } { x - 2 }\)
• B) \(f ( x ) = x - 2 ; g ( x ) = \frac { 1 } { \sqrt { x } }\)
• C) \(f ( x ) = \frac { 1 } { x - 2 } ; g ( x ) = \sqrt { x }\)
• D) \(f ( x ) = \frac { 1 } { x - 2 } ; g ( x ) = \frac { 1 } { \sqrt { x } }\)

---

Definitions:

Trend Percentages

Several years of financial data expressed as a percentage of performance in a base year.

Base Year

A specific year against which economic or financial data is compared over time for the purpose of analysis.

Financial Data

Quantitative information related to a company's financial performance, including income, expenses, assets, liabilities, and equity.

Return On Total Assets

A financial ratio indicating the profitability of a company relative to its total assets, showing how effectively a company is using its assets to generate profits.