Find the vertical asymptotes of the following rational expression:

x = 0, x = - 3 and x = 9

Step-by-step explanation:

Given

f(x) =

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.

2x(x + 3)(x - 9) = 0

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

x + 3 = 0 ⇒ x = - 3

x - 9 = 0 ⇒ x = 9

Thus the vertical asymptotes are x = 0, x = - 3, x = 9

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

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step-by-step explanation:

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