Davey Chen
07/27/2023 · Elementary School
(a) Choose the correct composition for the function \( y=\sqrt[3]{x}-4 \) below.
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Step-by-step Solution
To find the correct composition for the function \( y = \sqrt[3]{x} - 4 \), we need to clarify what kind of composition you are looking for. Typically, a composition of functions involves substituting one function into another.
If we denote the function \( f(x) = \sqrt[3]{x} - 4 \), we can consider composing it with another function \( g(x) \). The composition \( f(g(x)) \) would be calculated as follows:
1. Substitute \( g(x) \) into \( f(x) \):
\[
f(g(x)) = \sqrt[3]{g(x)} - 4
\]
2. If you have a specific function \( g(x) \) in mind, you can replace \( g(x) \) with that function to find the composition.
If you meant to find the inverse or some other operation related to the function, please provide more details so I can assist you further!
Quick Answer
To find the composition of \( y = \sqrt[3]{x} - 4 \), substitute another function \( g(x) \) into it as \( f(g(x)) = \sqrt[3]{g(x)} - 4 \).
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