Answer:
1. r(-6) = 8
2. r(1/2) = 11/3
3. x = 12
Explanation:
Given function:
r(x) = -2/3 x + 4
For problems 1 and 2, you are given the value of x, so evaluate the function for that value of x.
For problem 3, you are given the value of the function. You need to find which value of x makes the function equal 4.
1. r(-6) = -2/3 × (-6) + 4 = 4 + 4 = 8
2. r(1/2) = -2/3 × 1/2 + 4 = -1/3 + 12/3 = 11/3
3. r(x) = -4
-2/3 x + 4 = -4
-2/3 x = -8
x = -8 × (-3/2)
x = 12