The complete inputs and outputs for the given function are
x g(x)
-2 7
0 -1
-2 13
-1 3
Determining the value of a function
From the question, we are to determine the value of the given boxes
The given function is,
g(x) = -4x -1
For the first box, we are to determine the value of x for which g(x) = 7
From the given function,
g(x) = -4x -1
Put g(x) = 7
Then,
7 = -4x - 1
7 + 1 = -4x
8 = -4x
∴ x = 8/ -4
x = -2
The value of x in the first box is -2
For the second box, we are to determine the value of g(x), for x = 0
g(0) = -4(0) -1
g(0) = 0 - 1
g(0) = -1
The value of g(x) in the second box is -1
For the third box, we are to determine the value of x for which g(x) = -13
-13 = -4(x) -1
-13 = -4x - 1
-13 + 1 = -4x
-12 = -4x
∴ x = -12/ -4
x = 3
The value of x in the third box is -2
For the fourth box, we are to determine the value of g(x), for x = -1
g(-1) = -4(-1) -1
g(-1) = 4 - 1
g(-1) = 3
The value of g(x) in the fourth box is 3
Hence, the complete inputs and outputs for the given function are
x g(x)
-2 7
0 -1
-2 13
-1 3
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