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Algebra
Question

Given the function \( f ( x ) = 3 ^ { x } \) deter...

Given the function \( f ( x ) = 3 ^ { x } \) determine the equation of a new function, \( g ( x ) , \) that is reflected over the \( x \) - axis and then shifted \( 2 \) units up. 

\( \circ g ( x ) = 3 ^ { x } - 2 \) 

\( \circ g ( x ) = - 3 ^ { x } + 2 \) 

\( o g ( x ) = 3 ^ { - x } - 2 \) 

\( g ( x ) = - 3 ^ { - x } + 2\) 

Answer

\(g ( x ) = - 3 ^ { x } + 2\)

Solution
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