Question

the table shows the value for the function y=f(x)
x -3,-1,0,5,6
y5,-4,2,-8,3
if g(x)=1/2, which of the following are solutions to g(x)?
(-3,5.5)
(-1,-2)
(0,4)
(5,-8)
(6,3/2)

Answer 1

To determine if the given points are solutions to g(x) = 1/2, we need to substitute the x-coordinate of each point into the function and check if the result is equal to 1/2.

For (-3,5.5):
g(-3) = 1/2
Since 5.5 is not equal to 1/2, (-3,5.5) is not a solution to g(x) = 1/2.

For (-1,-2):
g(-1) = 1/2
Since -2 is not equal to 1/2, (-1,-2) is not a solution to g(x) = 1/2.

For (0,4):
g(0) = 1/2
Since 4 is not equal to 1/2, (0,4) is not a solution to g(x) = 1/2.

For (5,-8):
g(5) = 1/2
Since -8 is not equal to 1/2, (5,-8) is not a solution to g(x) = 1/2.

For (6,3/2):
g(6) = 1/2
Since 3/2 is equal to 1/2, (6,3/2) is a solution to g(x) = 1/2.

Therefore, the only solution to g(x) = 1/2 is (6,3/2).