Question

Here’s the question. Also the graph under the question wording is option A. I’ll send the other options

Answer 1

Given the word problem, we can deduce the following information:

1.

`\begin{gathered} f(x)=x^3-10 \\ g(x)=f(x)+14 \end{gathered}`

To fully understand the given given functions, we graph each functions first.

The graphs are shown below:

We plug in f(x)=x^3 -10 into g(x)=f(x)+14. So,

`\begin{gathered} g(x)=f(x)+14 \\ =x^3-10+14 \\ \text{Simplify} \\ g(x)=x^3+4 \end{gathered}`

Therefore, the answer is C.

into g(x)=