The following problem is based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.

Given $f(x)=x+4$ and $g(x)=x^2-3 x$, find $g(f(-3))$.

The following problem is based on material learned earlier in the course. The purpose of these problems to keep the material fresh in your mind so that you are better prepared for the final exam.

Given $f(x)=\frac{4 x+9}{2}$, find $f^{-1}(x)$.

The following problem is based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.

Find the vertex of the graph of $g(x)=-3 x^2+12 x-7$.

The following problem is based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.

Find the average rate of change of $f(x)=9^x$ from $\frac{1}{2}$ to 1 .

The following problem is based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.

If a credit card charges $15.3 \%$ interest compounded monthly, find the effective rate.

The following problem is based on material learned earlier in the course. The purpose of these problems to keep the material fresh in your mind so that you are better prepared for the final exam.

Find the exact distance between the points $(4,-1)$ and $(10,3)$.

The following problem is based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.

Analyze and graph the equation: $25 x^2+4 y^2=100$

The following problem is based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.

Solve $2 m^{2 / 5}-m^{1 / 5}=1$.

The following problem is based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.

Solve: $4 x^3+3 x^2-25 x+6=0$.

The following problem is based on material learned earlier in the course. The purpose of these problems to keep the material fresh in your mind so that you are better prepared for the final exam.

Find the complex zeros of $f(x)=x^4+21 x^2-100$.

The following problem is based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.

Write $\cos \left(\csc ^{-1} u\right)$ as an algebraic expression in $u$.

The following problem is based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.

Rationalize the denominator of $\frac{10}{\sqrt[3]{25}}$

The following problem is based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.

Solve: $\frac{2}{5}(3 x-7)+1=\frac{x}{4}-2$

The following problem is based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.

Solve $2(x+1)^2+8=0$ in the complex number system.