Perform the Operations and Simplify $$\frac { 1 } { x - 4 } + \frac { 3 } { x + 4 } - \frac { 3 x - 4 } { x ^ { 2 } - 16 }$$

question 122

Multiple Choice

Perform the operations and simplify. $$\frac { 1 } { x - 4 } + \frac { 3 } { x + 4 } - \frac { 3 x - 4 } { x ^ { 2 } - 16 }$$
Assume that no denominators are 0 .

• A) \(\frac { 4 } { x + 4 }\)
• B) \(\frac { 1 } { x + 16 }\)
• C) \(\frac { 1 } { x + 4 }\)
• D) \(\frac { 1 } { x - 4 }\)

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Definitions:

Facilitated Diffusion

A process of passive transport, mediated by carrier proteins, allowing molecules to cross the cellular membrane along the concentration gradient without energy expenditure.

Osmotic Pressure

The pressure required to prevent the flow of solvent into a solution through a semipermeable membrane, driven by differences in solute concentration.

Receptor-Mediated Endocytosis

A cellular process by which cells absorb metabolites, hormones, proteins – and in some cases viruses – by the inward budding of plasma membrane vesicles containing proteins with receptor sites specific to the molecules being absorbed.

Hypotonic

Describes a solution with a lower concentration of solutes compared to another solution, leading to the movement of water into the cell.