Use Function Notation to Write $g$ In Terms Of $f ( x ) = x ^ { 3 }$

question 38

Multiple Choice

Use function notation to write $g$ in terms of $f ( x ) = x ^ { 3 }$ .
$$g ( x ) = - \frac { 1 } { 2 } ( x + 9 ) ^ { 3 }$$

• A) \(\quad g ( x ) = - \frac { 1 } { 2 } [ f ( x ) ] ^ { 3 } + 9\)
• B) \(\quad g ( x ) = - \frac { 1 } { 2 } [ f ( x ) + 9 ]\)
• C) \(\quad g ( x ) = - [ f ( x ) ] ^ { 3 } + \frac { 729 } { 2 }\)
• D) \(\quad g ( x ) = - \frac { 1 } { 2 } [ f ( x ) ] ^ { 3 } + 729\)
• E) \(g ( x ) = - \frac { 1 } { 2 } [ f ( x + 9 ) ]\)

---

Definitions:

Unsystematic Risk

The risk of price change due to the unique circumstances of a specific security, as opposed to the market as a whole.

Market Risk Premium

The extra return expected by investors for taking on the risk of investing in the stock market over a risk-free rate.

Security Market Line

A line representing the relationship between the expected return of a market security and its risk, as measured by beta.

Systematic Risk

The collective risk for all investments in a market or a specific part of the market that cannot be offset through diversification.