Let $f ( x ) = 5 x + 4$ And $g ( x ) = x ^ { 2 } - 2$

question 168

Short Answer

Let $f ( x ) = 5 x + 4$ and $g ( x ) = x ^ { 2 } - 2$ . Find the composition. $( f \circ g ) ( 3 )$

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Definitions:

Parallel Lines

Lines in a plane that never meet, no matter how far they are extended, characterized by having the same slope.

Maximization Problem

A type of optimization problem that seeks to find the maximum value of a function subject to certain constraints.

Constraints

Limitations or restrictions on the variables in a problem, which define the feasible region for solutions.

Feasible Region

In operations research and optimization, the set of all possible points that satisfy a set of constraints, representing viable solutions to a problem.