Question

If $f(x)=\frac{3 x+8}{2 x-A}$ and $f(0) = 2$, what is the value of A?

Solution

VerifiedStep 1

1 of 2$f(x)=\dfrac{3x+8}{2x-A}$

Substitute $0$ for $x$ in the equation for $f$

$f(0)=\dfrac{3(0)+8}{2(0)-A}$

$f(0)=-\dfrac{8}{A}$

It is given that $f(0)=2$, so we can write

$2=-\dfrac{8}{A}$

Divide both sides by 2

$1=-\dfrac{4}{A}$

Multiply both sides by $A$

$A=-4$

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