the table shows the values for the function y=f(x)

x
-3
-1
0
5
6
y
5
-4
2
-8
3
if g(x)= 1/2f(x) which of the following are solutions to g(x)? slect all that apply
(-3,5.5)
(-1,-2)
(0,4)
(5,-8)
(6,3/2)

1 answer

To find the solutions to g(x) = 1/2f(x), we need to find the value of f(x) for each given x value and then multiply it by 1/2.

For x = -3, f(x) = 5, so g(x) = 1/2 * 5 = 2.5. Therefore, (-3, 2.5) is a solution to g(x).

For x = -1, f(x) = -4, so g(x) = 1/2 * -4 = -2. Therefore, (-1, -2) is a solution to g(x).

For x = 0, f(x) = 2, so g(x) = 1/2 * 2 = 1. Therefore, (0, 1) is a solution to g(x).

For x = 5, f(x) = -8, so g(x) = 1/2 * -8 = -4. Therefore, (5, -4) is a solution to g(x).

For x = 6, f(x) = 3, so g(x) = 1/2 * 3 = 1.5. Therefore, (6, 1.5) is a solution to g(x).

So, the following pairs are solutions to g(x):
(-3, 2.5), (-1, -2), (0, 1), (5, -4), (6, 1.5)