We have the function g(x) defined as:
[tex]g(x)=\frac{4x^2-7x}{-x+2}[/tex]
To find the slant asymptote, we must divide the numerator by the denominator:
Then, the slant asymptote is defined as the quotient of the division. We conclude that the equation of the slant asymptote is:
[tex]y=-4x-1[/tex]
