What is the domain of f(a)=(4a^2-36a)/(2a^4-24a^3+54a^2) ?

The domain of f(a)=(4a^2-36a)/(2a^4-24a^3+54a^2) is a 9

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domain of f(a)=(4a^2-36a)/(2a^4-24a^3+54a^2)

domain

f (a) = \frac{4 a ^{2} - 36 a}{2 a ^{4} - 24 a ^{3} + 54 a ^{2}}

a < 0 or 0 < a < 3 or 3 < a < 9 or a > 9

Interval Notation

(- \infty, 0) \cup (0, 3) \cup (3, 9) \cup (9, \infty)

Solution steps

Find undefined (singularity) points:

a = 0, a = 3, a = 9

The function domain

a < 0 or 0 < a < 3 or 3 < a < 9 or a > 9

\frac{h}{2} - \frac{5}{6} < \frac{7}{8} + h

4 x - 1 \leq - 37

2 x^{2} z + 10 x z + 8 z

- 2 x^{2} - 5 = - 2 x

t^{2} - 15 = - 2 t

What is the domain of f(a)=(4a^2-36a)/(2a^4-24a^3+54a^2) ?
The domain of f(a)=(4a^2-36a)/(2a^4-24a^3+54a^2) is a<0\lor 0<a<3\lor 3<a<9\lor a>9