At which values of x does the function F(x) have a vertical asymptote? Check
all that apply.
7
2*x+3)(x - 9)
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Answer:
B, C and F
Step-by-step explanation:
Given
f(x) = [tex]\frac{7}{2x(x+3)(x-9)}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.
solve
2x(x + 3)(x - 9) = 0
Equate each factor to zero and solve for x
2x = 0 ⇒ x = 0 → C
x + 3 = 0 ⇒ x = - 3 → B
x - 9 = 0 ⇒ x = 9 → F