What is the domain of f(x)= 7/(3-6x) ?

The domain of f(x)= 7/(3-6x) is x 1/2

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domain of f(x)= 7/(3-6x)

domain

f (x) = \frac{7}{3 - 6 x}

x < \frac{1}{2} or x > \frac{1}{2}

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = \frac{1}{2}

The function domain

x < \frac{1}{2} or x > \frac{1}{2}

f (x) = \frac{2 x ^{3}}{x ^{2} - 4}

f (x) = x - 36

\frac{2 x - 6}{x + 3}

y = - x^{2} - 8

f (x) = \frac{x ^{2} - 5 x + 6}{x ^{2} - 4}

What is the domain of f(x)= 7/(3-6x) ?
The domain of f(x)= 7/(3-6x) is x< 1/2 \lor x> 1/2