Question

How many vertical asymptotes does the graph of the function `F(x)=2/(3(x-7))`?

Answer 1

1 vertical asymptote at x = 7

Explanation:

The denominator of F(x) cannot be zero as this would make F(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non-zero for this value then it is a vertical asymptote.

solve: `3(x-7)=0rArrx=7" is the asymptote"`
graph{(2)/(3(x-7)) [-10, 10, -5, 5]}