Answer
$A=-4$
Work Step by Step
We are given:
$f(x)=\displaystyle \frac{3x+8}{2x-A}$ and $f(0)=2$
We solve for $A$:
$f(0)=\frac{3*0+8}{2*0-A}$
$f(0)=\frac{8}{-A}$
Since $f(0)=2$:
$2=\frac{8}{-A}$
$-2A=8$
$A=-4$
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