The Graphs of F and G Are Shown $( f + g ) ( - 2 )$

question 189

Multiple Choice

The graphs of f and g are shown. Find the values for the given values of x, if possible.
-a. $( f + g ) ( - 2 )$
b. $\left( \frac { g } { f } \right) ( 1 )$
c. $( g \circ f ) ( 3 )$

• A) a. \(7 ;\) b. \(- \frac { 3 } { 2 } ;\) c. \(- 2\)
• B) a. \(1 ;\) b. \(- \frac { 2 } { 3 } ;\)c. 3
• C) a. \(1 ;\) b. \(- \frac { 2 } { 3 }\);c. \(- 2\)
• D) a. \(7 ;\) b. \(- \frac { 3 } { 2 } ;\)c. 3

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Definitions:

Pure Hypothetical

A proposition or scenario that is entirely based on conjecture or speculation, without any necessity for it to have real-world applicability.

Antecedent

The conditional clause in a hypothetical proposition, usually following a "if" structure, whose truth is posited to logically imply another clause.

Consequent

In a conditional statement, the consequent is the outcome or result that follows from the condition being met.

Fallacy

An erroneous argument based on unsound reasoning or misleading premises.