The table below shows the values for the function y= f(x)
table:
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)
(-3,5.5)
(-1,-2)
(0,4)
(5,-8)
(6,3/2)

The answers are:

Second option, evaluating x=-1

Fifth option, evaluating x=6

We are given a table that shows the values for the given function (f(x), and we are asked to find the solution of an equivalent function (g(x)).

We have that:

Now, evaluating we have:

For x=-3

We have the values (-3,2.5) so,  it's not part of the solutions to the  function g(x).

For x=-1

We have the values (-1,-2) so,  it's part of the solutions to the function g(x).

For x=0

We have the values (0,1) so, it's not part of the solutions to the function g(x).

For x=5

We have the values (5,-8) so, it's not part of the solutions to the function g(x).

For x=6

We have the values so, it's part of the solutions to the function g(x).

Hence, we have that the answers are:

Second option, evaluating x=-1

Fifth option, evaluating x=6

Have a nice day!

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