What is the domain of f(x)= 1/(-3x+1) ?

The domain of f(x)= 1/(-3x+1) is x 1/3

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domain of f(x)= 1/(-3x+1)

domain

f (x) = \frac{1}{- 3 x + 1}

x < \frac{1}{3} or x > \frac{1}{3}

Interval Notation

(- \infty, \frac{1}{3}) \cup (\frac{1}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{3}

The function domain

x < \frac{1}{3} or x > \frac{1}{3}

f (t) = (arcsin (t)) + ln (t + 1)

8^{x}

3 arcsin (\frac{x - 1}{3}) + \frac{π}{2}

2 (2)^{x + 4} - 1

y = \frac{5}{x + 2}

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