Compute and Simplify the Difference Quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$

question 346

Multiple Choice

Compute and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$
- $$f ( x ) = \frac { x - 8 } { x + 3 }$$

• A) \(\frac { 11 } { ( x + h + 3 ) ( x + 3 ) }\)
• B) \(- \frac { 11 } { x ( x + 3 ) }\)
• C) \(\frac { 12 } { ( x + 3 ) ( x - 3 ) }\)
• D) \(\frac { 11 ( x + h + 3 ) } { ( x + 3 ) }\)

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Definitions:

Proteolytic Processing

This refers to the enzymatic breakdown of proteins into smaller polypeptides or amino acids.

Chemical Modification

The alteration of a chemical structure to change its properties or activity.

Protein Degradation

The process by which proteins are broken down into their constituent amino acids.

Proteases

Enzymes that break down proteins by cleaving peptide bonds between amino acids.