For the Given Functions F and G, Find the Requested $$f ( x ) = 2 x ^ { 3 } - 1 ; g ( x ) = 5 x ^ { 2 } + 2$$

question 149

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $$f ( x ) = 2 x ^ { 3 } - 1 ; g ( x ) = 5 x ^ { 2 } + 2$$
Find $f \cdot g$ .

• A) \(( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = 10 \mathrm { x } ^ { 5 } + 4 \mathrm { x } ^ { 3 } - 5 \mathrm { x } ^ { 2 } - 2\); all real numbers
• B) \(( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = 10 \mathrm { x } ^ { 6 } + 4 \mathrm { x } ^ { 3 } - 5 \mathrm { x } ^ { 2 } - 2\); all real numbers
• C) \(( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = 2 \mathrm { x } ^ { 3 } + 5 \mathrm { x } ^ { 2 } - 2\); all real numbers
• D) \(( f \cdot g ) ( x ) = 10 x ^ { 5 } + 4 x ^ { 3 } - 5 x ^ { 2 } - 2 ; \{ x \mid x \neq 0 \}\)

Learn about the constraints on the federal government's power to tax.

Acknowledge the application of the First Amendment to individuals and corporations.

Realize the enforcement powers of the executive branch and the extent of constitutional protections in various contexts.

Understand the dynamic size capabilities of vector objects.

---

Definitions:

Spot Checks

Random inspections or audits conducted without prior notice to ensure compliance or quality.

Employee Work

The tasks and duties performed by an individual employed by an organization.

Agency Costs

The costs associated with resolving conflicts of interest between stakeholders in a corporation, typically between management and shareholders.

Background Checks

The process of investigating an individual's or organization's history, typically used by employers or landlords to verify qualifications or trustworthiness.