Perform the Operation and Simplify the Result If Possible $\frac { 2 x + 2 } { x - 5 } - \frac { x - 17 } { 5 - x }$

question 156

Multiple Choice

Perform the operation and simplify the result if possible. $\frac { 2 x + 2 } { x - 5 } - \frac { x - 17 } { 5 - x }$

• A) \(\frac { 17 x + 2 } { x - 5 }\)
• B) \(\frac { 2 x + 17 } { x - 5 }\)
• C) \(\frac { 2 x + 17 } { 5 - x }\)
• D) 3
• E) 2

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Definitions:

Inverse Function

A function that reverses the operation of a given function, such that the composition of the two yields the original input.

Function

A framework involving a set of inputs and a roster of potential outputs, with the stipulation that each input is corresponded with only one output.

Composition

The combining of distinct parts or elements to form a whole, especially in mathematics where functions are combined.

Function

A mathematical relationship where each input has a single output, often expressed as f(x).