10 Determine the vertical asymptote of the graph of the func

10.

Determine the vertical asymptote of the graph of the function. Sketch the graph: f(x) = x - 7/3 - x

Solution

f(x) = (x - 7)/(3 - x)

Vertical asymptote ==> function is undefined at that x

==> Denominator = 0

==> 3 - x = 0

==> x = 3

Hence equation of vertical asymptote is x = 3