Question

determine the vertical asymptote of f(x)= (x(x-1))/(3x^2-4x-7)

Answer 1

Find the set of \[x\] for which \[f(x)\rightarrow\infty\]as \[x\rightarrow x_0\] Basically solve the quadratic formula in the denominator, find the roots, then insert values close to the roots(both positively and negatively close) and observe how the function changes, if it is unbounded i.e increases or decreases wildly, then plot values of both those \[x\]which make it unbounded and those \[y\] obtained.