Question

At which values of x does the function F(x) have a vertical asymptote ? Check all that apply. (Picture provided )

Answer 1

The answers are -3 and -2

Hope this helped (:

Answer 2

The vertical asymptote of given function is x=-2 and x=-3

C and D are correct.

Explanation:

Given:
`F(x)=(1)/(7(x+2)(x+3))`

Vertical Asymptote: It is value of x where denominator of function is 0.

It is vertical line of function where graph touches at infinity.

In given function denominator factors are (x+2)(x+3)

We will set each factor to 0 and solve for x

x+2=0 and x+3=0

x=-2 and x=-3

Hence, The vertical asymptote of given function is x=-2 and x=-3