Question

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Answer 1

3

Explanation:

1. Find the values for f(-3), f(1), and f(6).

2. Since -3 is less than 0, you use the equation
`-(2)/(3) x+4`.

• Plug -3 into the equation and solve.
• 
  `f(-3)=-(2)/(3) (-3)+4=2+4=6`

3. Since 1 is between 0 and 1, you use the equation -2.

• Since there is no input value for this, the value for f(1) is just -2.
• 
  `f(1)=-2`

4. Since 6 is greater than 3, you use the equation
`(4)/(3)x-1`.

• Plug 6 into the equation and solve.
• 
  `f(6)=(4)/(3)(6)-1=8-1=7`

5. Plug these solved values into their respective places into the original equation.

• 
  `2f(-3)+f(1)-f(6)=2(6)+(-2)-7`

6. Solve the expression.

• 
  `2(6)+(-2)-7=12-2-7=3`