Find the Domain of the Function F and of Its $\mathrm { f } ^ { - 1 }$

question 37

Multiple Choice

Find the domain of the function f and of its inverse function $\mathrm { f } ^ { - 1 }$ .
- $$f ( x ) = 6 \tan x + 10$$

• A) Domain of \(\mathrm { f } : ( \infty , \infty )\)
• Domain of \(\mathrm { f } ^ { - 1 } : [ 4,16 ]\)
• B) Domain of f: \(x \neq \frac { ( 2 k + 1 ) \pi } { 2 } ; k\) an integer
• Domain of \(\mathrm { f } ^ { - 1 } : ( \infty , \infty )\)
• C) Domain of \(\mathrm { f } : ( * , \infty )\)
• Domain of \(\mathrm { f } ^ { - 1 } : \mathrm { x } \neq \frac { ( 2 \mathrm { k } + 1 ) \pi } { 2 } ; \mathrm { k }\) an integer
• D) Domain of \(f : x \neq \frac { ( 2 k + 1 ) \pi } { 2 } ; k\) an integer
• Domain of \(f ^ { - 1 } : [ 4,16 ]\)

---

Definitions:

Post-Civil War

Refers to the period immediately following the end of the American Civil War, marked by reconstruction efforts, societal changes, and attempts to integrate formerly enslaved people into society.

Cotton

A soft, fluffy staple fiber that grows in a boll around the seeds of cotton plants, historically significant as a major driver of the economy, especially in the American South.

Civil Rights Act

A landmark piece of federal legislation in the United States that prohibits discrimination on the basis of race, color, religion, sex, or national origin.

Federal Judiciary

The system of courts that interprets and applies the law in the name of the federal government of the United States, including the Supreme Court and lower federal courts.