What is the domain of f(x)=log_{3}(3-2x) ?

The domain of f(x)=log_{3}(3-2x) is x< 3/2

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domain of f(x)=log_{3}(3-2x)

domain

f (x) = lo g_{3} (3 - 2 x)

x < \frac{3}{2}

Interval Notation

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

Solution steps

Find positive values for logs:

x < \frac{3}{2}

The function domain

x < \frac{3}{2}

f (x) = \frac{x - 4}{x ^{2} + 8 x + 7}

f (x) = \frac{x ^{2} + 6 x + 5}{x ^{2} - 25}

f (x) = \frac{x + 2}{11 - x}

y = - tan (\frac{3}{2}) (x - \frac{π}{3}) + 5

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

What is the domain of f(x)=log_{3}(3-2x) ?
The domain of f(x)=log_{3}(3-2x) is x< 3/2