Answer:
[tex]a=-4[/tex]
Step-by-step explanation:
Since [tex]f(x)=\frac{3x+8}{2x-a}[/tex], we have
[tex]2=f(0)=\frac{3(0)+8}{2(0)-a}=-\frac8a[/tex]
Taking the reciprocal gives
[tex]-\frac a8=\frac12[/tex]
Then multiplying by [tex]-8[/tex] gives
[tex]a=\frac12(-8)=-4[/tex]
