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complet the table of inputes and outputs for given function. g(x) = -4x-1 x g(x) 70 -13-1

Sagot :

To complete the first space on the table, we need to replace g(x) by 7 and solve for x as:

g(x) = -4x - 1

7 = -4x - 1

7 + 1 = -4x - 1 + 1

8 = - 4x

8/(-4) = -4x/(-4)

-2 = x

So, the first space is -2

Then, for the second space, we need to replace x by 0 and calculate g(x) as:

g(x) = -4x - 1

g(x) = -4*0 - 1

g(x) = 0 - 1

g(x) = -1

So, the second space is -1

The third space is calculated as the first one, replacing g(x) by -13 and solving for x:

g(x) = -4x - 1

-13 = -4x - 1

-13 + 1 = -4x - 1 + 1

-12 = - 4x

-12/(-4) = -4x/(-4)

3 = x

So, the third space is 3

Finally, the fourth space is calculated as the second one, replacing x by -1, so:

g(x) = -4x - 1

g(x) = -4*(-1) - 1

g(x) = 4 - 1

g(x) = 3

So, the fourth space is 3

Answer:

x g(x)

-2 7

0 -1

3 -13

-1​ 3