Answer:
C = -5
Step-by-step explanation:
Functions
F(x) is defined as:
[tex]\displaystyleF(x)=\frac{C-x}{D-x}[/tex]
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:
[tex]\displaystyleF(x)=\frac{C-x}{-2-x}[/tex]
We also know F(-1) = 4:
[tex]\displaystyle \frac{C-(-1)}{-2-(-1)}=4[/tex]
[tex]\displaystyle \frac{C+1}{-2+1}=4[/tex]
[tex]\displaystyle \frac{C+1}{-1}=4[/tex]
Multiplying by -1
C + 1 = -4
Solving for C:
C = -5
