Find the Inverse Function of F $$f ( x ) = \frac { 3 x - 2 } { x + 5 }$$

question 288

Multiple Choice

Find the inverse function of f. State the domain and range of f.
- $$f ( x ) = \frac { 3 x - 2 } { x + 5 }$$

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } + 5 } { 3 \mathrm { x } - 2 }\); domain of \(\mathrm { f } : \{ \mathrm { x } \mid \mathrm { x } \neq - 5 \}\); range of \(\mathrm { f } : \left\{ \mathrm { y } \mid \mathrm { y } \neq \frac { 2 } { 3 } \right\}\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 5 \mathrm { x } + 2 } { 3 + \mathrm { x } }\); domain of \(\mathrm { f } : \{ \mathrm { x } \mid \mathrm { x } \neq5 \}\); range of \(\mathrm { f } : \{ \mathrm { y } \mid \mathrm { y } \neq 3 \}\)
• C) \(f ^ { - 1 } ( x ) = \frac { 3 x + 2 } { x - 5 }\); domain of \(f : \{ x \mid x \neq - 5 \}\); range of \(f : \{ y \mid y \neq 5 \}\)
• D) \(f ^ { - 1 } ( x ) = \frac { 5 x + 2 } { 3 - x }\); domain of \(f : \{ x \mid x \neq - 5 \}\); range of \(f : \{ y \mid y \neq 3 \}\)

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Definitions:

Blood Volume

The total amount of blood circulating within an individual's vascular system.

Postglomerular Blood

Blood that has passed through the glomeruli of the kidneys, where filtration of blood takes place.

Protein Reabsorption

The process, particularly within the kidneys, by which proteins filtered by the glomerulus are reabsorbed back into the bloodstream from the kidney tubules.