What is the domain of (a-(2a-1)/a)/(\frac{1-a){3a}} ?

The domain of (a-(2a-1)/a)/(\frac{1-a){3a}} is a 1

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domain of (a-(2a-1)/a)/(\frac{1-a){3a}}

domain

\frac{a - \frac{2 a - 1}{a}}{\frac{1 - a}{3 a}}

a < 0 or 0 < a < 1 or a > 1

Solution steps

Find undefined (singularity) points:

a = 1, a = 0

The function domain

a < 0 or 0 < a < 1 or a > 1

f (x) = x^{2} + 2

- 6 (x - 2)

\frac{x}{x ^{2} - 6 x + 8}

3 (x - 2)^{2} + 4

f (x) = (4 - x)^{3}

What is the domain of (a-(2a-1)/a)/(\frac{1-a){3a}} ?
The domain of (a-(2a-1)/a)/(\frac{1-a){3a}} is a<0\lor 0<a<1\lor a>1