The table below shows the values for the function y=f(x)
x|y
-3|5
-1|-4
0|2
5|-8
6|3
if g(x)=1/2f(x), which of the following are solutions to g(x)? select all that apply
(-3,5.5)
(-1,-2)
(0,4)
(5,-8)
(6,3/2)

Option A and E are correct

(-1,-2)  and (6,3/2) are solutions to g(x).

Step-by-step explanation:

Given the function:

We have to find the solutions to g(x).

Using the given table for the values of y=f(x).

For x = -3

Using the value of y=f(x) at x = -3 from the table we have;

⇒(-3, 2.5)

Similarly,

For x = -1

⇒

⇒(-1, -2)

For x = 0

⇒

⇒(0, 1)

For x = 5

⇒

⇒(5 , -4)

For x = 6

⇒

⇒(6,3/2)

Therefore, the solutions to g(x) are: (-1,-2)  and (6,3/2)

(-1,-2) and

Step-by-step explanation:

Given : A table shows the values for the function f(x).

And

Now, substitute the values of x from the table and get the solution of g(x).

Put x= -3, we get

Put x= -1, we get

Put x= 0, we get

Put x= 5, we get

Put x= 6, we get

Thus, (-1,-2) and are the solutions to g(x).