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Algebra
Pregunta

Use function composition to determine if \( f ( x ...Use function composition to determine if \( f ( x ) \) and \( g ( x ) \) are inverse functions. \(f ( x ) = \sqrt[ 3 ] { x + 1 } \) and \( g ( x ) = x ^ { 3 } + 1\) (a) Yes, they are inverse functions. (b) No, they are not inverse functions. Show your work and explain, in your own words, how you arrived at your answers. There are sample student explanations in the feedback to questions \( 3,5,9 \) , and \( 14 \) that show the level of detail that is expected in your explanations. 

Answer

b

Solución
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Related Questions
Q:

If \( y = f ( g ( h ( x ) ) ) , \) then the derivative \( y ^ { \prime } \) is given by which for

a) \( f ^ { \prime } ( g ( h ( x ) ) \) 

b) \( f ^ { \prime } ( g ( h ( x ) ) h ^ { \prime } ( x ) \) 

c) None of these

 d) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) \) 

e) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) h ^ { \prime } ( x )\) 

A: See Answer #Algebra
Q:

Determine the following limits. If infinite, specify \( \infty \) or \( - \infty \) . If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) b. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\) 

A: See Answer #Algebra