Given the word problem, we can deduce the following information:
1.
[tex]\begin{gathered} f(x)=x^3-10 \\ g(x)=f(x)+14 \end{gathered}[/tex]
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,
[tex]\begin{gathered} g(x)=f(x)+14 \\ =x^3-10+14 \\ \text{Simplify} \\ g(x)=x^3+4 \end{gathered}[/tex]
Therefore, the answer is C.
into g(x)=
