What is the domain of (2/3)^{x-3}-2 ?

The domain of (2/3)^{x-3}-2 is -infinity <x<infinity

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domain of (2/3)^{x-3}-2

domain

(\frac{2}{3})^{x - 3} - 2

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

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

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

f (x) = \frac{3}{2 x + 1}

f (x) = - 6 x^{2} - 9 x - 2

x^{3} - 15 x^{2} + 68 x - 96

What is the domain of (2/3)^{x-3}-2 ?
The domain of (2/3)^{x-3}-2 is -infinity <x<infinity