Question

If f(x)=3x+8/2x-Aand f(0)=2.what is the value of a?

Answer 1

`a=-4`

Explanation:

Since
`f(x)=(3x+8)/(2x-a)`, we have

`2=f(0)=(3(0)+8)/(2(0)-a)=-\frac8a`

Taking the reciprocal gives

`-\frac a8=\frac12`

Then multiplying by
`-8` gives

`a=\frac12(-8)=-4`