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The Function I(x) = x2+2x35x+7\frac { x ^ { 2 } + 2 x - 35 } { x + 7 }

question 129

Short Answer

The function i(x) = x2+2x35x+7\frac { x ^ { 2 } + 2 x - 35 } { x + 7 } is continuous everywhere except at x = -7. If possible, define f(x) at x=7x = - 7 in a way that makes f(x) continuous for all x.
Enter your answer exactly as just: f(-7) = a where a is an integer or enter the words "not possible".

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Definitions:

Fallacy

An error in reasoning that renders an argument invalid, often due to irrelevant premises or faulty connections between ideas.

Syllogism

A form of reasoning in which a conclusion is drawn from two given or assumed premises, each of which shares a term with the conclusion.

Negative Premises

Statements within an argument that deny or negate a particular proposition or assumption.

Validity

The quality of being logically or factually sound; in logic, it refers to an argument where the conclusion logically follows from the premises.

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