What is the domain of (7b-14b^2)/(42b^2-21b) ?

The domain of (7b-14b^2)/(42b^2-21b) is b 1/2

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domain of (7b-14b^2)/(42b^2-21b)

domain

\frac{7 b - 14 b ^{2}}{42 b ^{2} - 21 b}

b < 0 or 0 < b < \frac{1}{2} or b > \frac{1}{2}

Interval Notation

(- \infty, 0) \cup (0, \frac{1}{2}) \cup (\frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

b = \frac{1}{2}, b = 0

The function domain

b < 0 or 0 < b < \frac{1}{2} or b > \frac{1}{2}

x^{2} + 5

f (x) = - (x + 1)^{2} + 1

f (x) = \frac{ln ( x )}{ln ( x - 1 )}

f (x) = ln (1 + ln (x))

f (x) = 4 cos (\frac{1}{x})

What is the domain of (7b-14b^2)/(42b^2-21b) ?
The domain of (7b-14b^2)/(42b^2-21b) is b<0\lor 0<b< 1/2 \lor b> 1/2