Find the Domain and Range of the Inverse of the Given

question 242

Multiple Choice

Find the domain and range of the inverse of the given function.
- $$f ( x ) = \frac { 1 } { x + 4 }$$

• A) Domain and range: all real numbers
• B) Domain: \(( - \infty , - 4 ) \cup ( - 4 , \infty )\); range: \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• C) Domain: all real numbers; range: \(( - \infty , - 4 ) \cup ( - 4 , \infty )\)
• D) Domain: \(( - \infty , 0 ) \cup ( 0 , \infty )\); range: \(( - \infty , - 4 ) \cup ( - 4 , \infty )\)

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Definitions:

Polykleitos

An ancient Greek sculptor known for his work on the theory of proportions and symmetry in sculpture, notably the Doryphoros (Spear-Bearer).

Doryphoros

A classic Greek sculpture by Polykleitos, depicting a perfectly proportioned male athlete, exemplifying the ancient ideal of physical and moral excellence.

Cross-Balances

A term that could relate to balancing elements across various contexts, but without a specific definition provided; further context is needed.

Archaic Statues

Sculptures from the Archaic period of Greece (circa 650-480 BCE), characterized by a stylized approach to the human figure, notably the ‘Archaic smile’.