[tex]f(x)=\begin{cases}7x-2;x\le-3 \\ 3x^2-2x;-30\end{cases}[/tex]
To find 3f(-2)-2f(1):
1. Find f(-2):
[tex]\begin{gathered} x=-2 \\ -32. Find f(1):[tex]\begin{gathered} x=1 \\ x>0 \\ \\ \text{Equation:-}2\sqrt[]{x}-1 \end{gathered}[/tex][tex]\begin{gathered} f(1)=-2\sqrt[]{1}-1 \\ f(1)=-2-1 \\ f(1)=-3 \end{gathered}[/tex]
3. find 3f(-2)-2f(1)
[tex]\begin{gathered} 3f(-2)-2f(1)=3(16)-2(-3) \\ \\ =48+6 \\ \\ =54 \end{gathered}[/tex]
Then:
[tex]3f(-2)-2f(1)=54[/tex]
