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anonymous
 5 years ago
Question in Finding rule for inverse function
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anonymous
 5 years ago
Question in Finding rule for inverse function http://img190.imageshack.us/img190/9075/andysnap007.png

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You can find inverse functions using the definition. If f(x) is a function, and g(x) is its inverse, then\[f(g(x))=g(f(x))=x\]Now, you have\[f(x)=2x^{1/3}+8\]so that\[f(g(x))=2(g(x))^{1/3}+8=x\]Solving for g(x) gives,\[2(g(x))^{1/3}+8=x \rightarrow 2(g(x))^{1/3}=x8\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I haven't practiced inverse functions. Thanks for the definition. So what happens next? How do we get the rule?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Divide both sides by 2 and raise both sides to the power of 3,\[2(g(x))^{1/3}=x8 \rightarrow (g(x))^{1/3}=\frac{x8}{2} \rightarrow g(x)=\left( \frac{x8}{2} \right)^3\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It's on your list too.
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