11 Determine the equation(s) of all the asymptotes of f(x)=(2x^2+1)/(3x^2)

## Step 1: Simplify the function### We can rewrite the function as .## Step 2: Find the Horizontal Asymptote### As approaches infinity (positive or negative), the term approaches 0. Therefore, the horizontal asymptote is .## Step 3: Find the Vertical Asymptote### The denominator is equal to zero when . Thus, there is a vertical asymptote at .