Answer:
![f(6)=-21\\\\g(-3)=-52](https://img.qammunity.org/2022/formulas/mathematics/college/m1xuou9uenhlfz2kzvzuzzkwickeja5ex6.png)
Explanation:
When given the following two functions,
![f(x) =-3x-3\\g(x)=2x^3+2](https://img.qammunity.org/2022/formulas/mathematics/college/vv9502jv78uur1bus5iuj7jvo6kgogc3zq.png)
One is asked to evaluate the functions for, (f(6)) and (g(-3)). One can do this by substituting the values (6) into the function (f) and (-3) into the function (g). These values will replace the parameter (x).
![f(6)=-3(6)-3\\](https://img.qammunity.org/2022/formulas/mathematics/college/edivdagvecrikldvy6ods73nhvgsumx2ml.png)
Simplify,
![f(6)=-18-3\\f(6)=-21](https://img.qammunity.org/2022/formulas/mathematics/college/cw9d1qb99w9i676syvv2ubn1yszaewl5py.png)
Now repeat this process for the guncion (g(x)) to evaluate for (g(-3))
![g(-3)=2(-3)^3+2](https://img.qammunity.org/2022/formulas/mathematics/college/fmvwi3hpdlfl61vdbagf44ulr4vr9l02cp.png)
Simplify,
![g(-3)=2(-27)+2\\g(-3)=-54+2\\g(-3)=-52](https://img.qammunity.org/2022/formulas/mathematics/college/hgocz6geh4aenprstbn9w3qmsot19aa0oe.png)