What is the domain of f(x)=ln(-3x+2) ?

The domain of f(x)=ln(-3x+2) is x< 2/3

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domain of f(x)=ln(-3x+2)

domain

f (x) = ln (- 3 x + 2)

x < \frac{2}{3}

Interval Notation

(- \infty, \frac{2}{3})

Solution steps

Find positive values for logs:

x < \frac{2}{3}

The function domain

x < \frac{2}{3}

y = 2 x - 3

g (x) = 2 x^{2} - 3

2 x^{2} + 3 x \cdot (- 3 x + 4)

\frac{- 2}{x - 4} + 3

\frac{1}{t - 2}