For the Given Functions F and G, Find the Requested $f ( x ) = 5 x ^ { 3 } - 2 ; g ( x ) = 5 x ^ { 2 } + 3$

question 76

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $f ( x ) = 5 x ^ { 3 } - 2 ; g ( x ) = 5 x ^ { 2 } + 3$
Find $f \cdot g$ .

• A) \(( f \cdot g ) ( x ) = 5 x ^ { 3 } + 5 x ^ { 2 } - 6\); all real numbers
• B) \(( f \cdot g ) ( x ) = 25 x ^ { 6 } + 15 x ^ { 3 } - 10 x ^ { 2 } - 6\); all real numbers
• C) \(( f \cdot g ) ( x ) = 25 x ^ { 5 } + 15 x ^ { 3 } - 10 x ^ { 2 } - 6\); all real numbers
• D) \(( f \cdot g ) ( x ) = 25 x ^ { 5 } + 15 x ^ { 3 } - 10 x ^ { 2 } - 6 ; \{ x \mid x \neq 0 \}\)

Recognize the impact of operon mutation on gene regulation and syndromes.

Identify and describe elements involved in the initiation and enhancement of transcription in eukaryotes.

Understand the concepts of euchromatin and heterochromatin in gene expression.

Explain posttranscriptional and posttranslational gene regulation strategies.

---

Definitions:

Internal Migration

Movement of a population within a country.

Great Depression

A severe worldwide economic downturn that took place during the 1930s, marked by massive unemployment and the collapse of financial institutions.

Dispossessed Farmers

Farmers who have lost their land and livelihood, often due to economic, political, or environmental pressures.

Metropolitan Statistical Area (MSA)

An area with at least one major city of 50,000 or more inhabitants that is surrounded by adjacent counties that are socially and economically integrated with the city core.