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Algebra
Question

16. Given the following functions, use function co...

16. Given the following functions, use function composition to determine if \( f ( x ) \) and \( g ( x ) \) are inverse functions. 

\( f ( x ) = - 4 x + 8 \) and \( g ( x ) = \frac { x - 8 } { - 4 } \) 

\( ( f \circ g ) ( x ) = \)       \(f\)\(( g \circ f ) ( x ) = \)

Thus \( g ( x ) \) is not \( / \) is (circle one \( ) \) the inverse function of  

17.Find the inverse function of \( f ( x ) = 14 + \sqrt[ 3 ] { x } \) and specify the domain for \( f ^ { - 1 } ( x ) \) using interval notation. 

\( f ^ { - 1 } ( x ) = \) 

Domain of \( f ^ { - 1 } ( x ) : \) 

18.Given the graph of \( f ( x ) = - 3 x - 9 , \) sketch the graph of its inverse \( f ^ { - 1 } ( x )\) 

Answer

16)

17)

\(Domain\space of\space f^{- 1}= - \infty\space to\space \infty\)

18)

Solution
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