Answer
$f(x)=-\frac{x-1}{2x-4}$ matches the graph labeled (g)
Work Step by Step
The vertical asymptote is:
$2x-4=0$
$2x=4$
$x=2$
The x-intercept:
$f(x)=-\frac{x-1}{2x-4}=0$.
$x-1=0$
$x=1$
The graph passes through $(1,0)$
The degree of the denominator is equal to the degree of the numerator. The horizontal asymptote is the ratio of the leading coefficients:
$y=\frac{-1}{2}=-\frac{1}{2}$
