A function assigns the values. The correct option is C, x=-6.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
A.) When the value of x is -12,
f(-12) = 2/3(-12) + 7 = -1
g(-12) = 2(-12) + 15 = -9
B.) When the value of x is -9,
f(-9) = 2/3(-9) + 7 = 1
g(-9) = 2(-9) + 15 = -3
C.) When the value of x is -6,
f(-6) = 2/3(-6) + 7 = 3
g(-6) = 2(-6) + 15 = 3
D.) When the value of x is -3,
f(-9) = 2/3(-3) + 7 = 5
g(-9) = 2(-2) + 15 = 11
Hence, the correct option is C, x=-6.
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-3*-2*-2=6*-2=-12 because negative multiplied by negative is positive
Solution
1) Simplify

<span> to </span>


<span>−2= </span>

+

2) Simplify

+

<span>to <span>914</span>
</span>

<span>−2= </span>

3) <span>Add 2 to both sides
</span>

=

<span>+2
</span>
4) Simplify

<span><span>+2</span> to </span>


=

5) <span>Multiply both sides by 7
</span><span>4y= </span>

<span>×7
</span>
6) Simplify

<span><span>×7</span> to </span>


=

7) Simplify

<span> to </span>


=

8) <span>Divide both sides by 4
</span>y=

<span>×4
</span>
9) <span>Simplify <span>2×4</span> to 8
</span><span>y=</span>

<span><span>
Hope this helps
</span></span>
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