For the given function, find the following function values.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice,
A (Round to the nearest tenth as needed.)
B. The root is not a real number.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. (Round to the nearest tenth as needed.)
B. The root is not a real number.

Ask by Davies Owen. in the United States

Mar 28,2025

Question

For the given function, find the following function values.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice,
A (Round to the nearest tenth as needed.)
B. The root is not a real number.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. (Round to the nearest tenth as needed.)
B. The root is not a real number.

Ask by Davies Owen. in the United States

Mar 28,2025

UpStudy AI · Accepted Answer

1. To evaluate $$ g(10) $$:
   - Substitute $$ t = 10 $$ into $$ g(t)=\sqrt[3]{t-2} $$:
     $$
     g(10)=\sqrt[3]{10-2}=\sqrt[3]{8}
     $$
   - Since $$ \sqrt[3]{8}=2 $$, we have:
     $$
     g(10)=2
     $$

2. To evaluate $$ g(-123) $$:
   - Substitute $$ t = -123 $$ into $$ g(t)=\sqrt[3]{t-2} $$:
     $$
     g(-123)=\sqrt[3]{-123-2}=\sqrt[3]{-125}
     $$
   - Since $$ \sqrt[3]{-125}=-5 $$, we have:
     $$
     g(-123)=-5
     $$

Thus, the correct choices are:
- For $$ g(10) $$: $$ g(10)=2 $$
- For $$ g(-123) $$: $$ g(-123)=-5 $$
$$ g(10) = 2 $$ and $$ g(-123) = -5 $$.

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