What is the domain of (1-3/x)^x ?

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

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domain of (1-3/x)^x

domain

(1 - \frac{3}{x})^{x}

x < 0 or x \geq 3

Interval Notation

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

Solution steps

Check exponents domain:

x < 0 or x \geq 3

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x \geq 3

f (x) = x + ln (x)

f (x) = ∣ 2 x - 1 ∣

f (x) = ln ((\frac{9 - x}{2 x + 3})^{\frac{1}{3}})

f (x) = \frac{3 x ^{2}}{x ^{2} + 2 x - 35}

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