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arsen [322]
3 years ago
9

PLS HELP

Mathematics
1 answer:
kogti [31]3 years ago
5 0

Answer:

<em>C = -5</em>

Step-by-step explanation:

<u>Functions</u>

F(x) is defined as:

\displaystyleF(x)=\frac{C-x}{D-x}

We know F(-2) is undefined. It comes from the fact that the denominator is 0 for this value of x, thus:

D - (-2) = 0

Solving:

D = -2

Substituting:

\displaystyleF(x)=\frac{C-x}{-2-x}

We also know F(-1) = 4:

\displaystyle \frac{C-(-1)}{-2-(-1)}=4

\displaystyle \frac{C+1}{-2+1}=4

\displaystyle \frac{C+1}{-1}=4

Multiplying by -1

C + 1 = -4

Solving for C:

C = -5

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