Questions: What is the equation of the vertical asymptote for the graph of the rational function g(x)=6/(x-1)? x=1 x=-1 x=6 x=1/6

Solution Steps

To find the vertical asymptote of a rational function, we need to determine the values of $x$ that make the denominator equal to zero, as these are the points where the function is undefined. For the function $g(x) = \frac{6}{x-1}$, set the denominator $x-1$ equal to zero and solve for $x$.

We are given the rational function $g(x) = \frac{6}{x-1}$.

To find the vertical asymptote, we need to determine where the function is undefined. This occurs when the denominator is equal to zero: $$x - 1 = 0$$

Solving the equation $x - 1 = 0$ gives: $$x = 1$$

Final Answer