At which values of x does the function F(x) have a vertical asymptote? Check all that apply.𝐹(𝑥)=72𝑥(𝑥+3)(𝑥−9)F(x)= 2x(x+3)(x−9)7 A.-3B.-9C.3D.7E.0F.9SUBMITarrow_backPREVIOUS
Question
At which values of x does the function F(x) have a vertical asymptote? Check all that apply.𝐹(𝑥)=72𝑥(𝑥+3)(𝑥−9)F(x)= 2x(x+3)(x−9)7 A.-3B.-9C.3D.7E.0F.9SUBMITarrow_backPREVIOUS
Solution
A function F(x) has a vertical asymptote at the values of x where the denominator of the function is equal to zero.
In the given function F(x) = 2x(x+3)(x-9)/7, the denominator is 7, which is a constant and never equals zero. Therefore, this function does not have any vertical asymptotes.
So, none of the options A.-3, B.-9, C.3, D.7, E.0, F.9 apply.
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