13. Solve the following

A function \(f : [(-3, 7) \rightarrow R\) is defined as follows:

 

\(f(x) = \begin{cases}
4x^2 - 1 & \text{ if } x= -3 \leq x < 2\\
3x - 2 & \text{ if } x= 2 \leq x \leq 4\\
2x - 3 & \text{ if } x= 4 < x < 7
\end{cases}\)

 

Find the following:

 

\(f(\)−3\()\) \(-\) \(f(\)2\()\) \(=\)

 

\(\frac{f(2) - f(-3)}{2f(5) - f(-3)}\) \(=\) $\frac{i}{i}$

 

[Note: Do not reduce the obtained fraction.]