Question

Given the function f(x) below, evaluate 3f * (- 2) - 2f * (1) . f(x)= 7x-2 if x<=-3\\ 3x^ 2 -2x if-30

Answer 1

`f(x)=\begin{cases}7x-2;x\le-3 \\ 3x^2-2x;-30\end{cases}`

To find 3f(-2)-2f(1):

1. Find f(-2):

`\begin{gathered} f(1)=-2\sqrt[]{1}-1 \\ f(1)=-2-1 \\ f(1)=-3 \end{gathered}`

3. find 3f(-2)-2f(1)

`\begin{gathered} 3f(-2)-2f(1)=3(16)-2(-3) \\ \\ =48+6 \\ \\ =54 \end{gathered}`

Then:

`3f(-2)-2f(1)=54`