What is the domain of sqrt(3x-15)+ln(12-2x) ?

The domain of sqrt(3x-15)+ln(12-2x) is 5<= x<6

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domain of sqrt(3x-15)+ln(12-2x)

domain

3 x - 15 + ln (12 - 2 x)

5 \leq x < 6

Interval Notation

[5, 6)

Solution steps

Find non-negative values for radicals:

x \geq 5

Find positive values for logs:

x < 6

Combine real regions and undefined points for final function domain

5 \leq x < 6

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

x (x - 12)

y = - 0.0005 x^{3} + 60 x

1 - 0

\frac{4}{x} 4.1

What is the domain of sqrt(3x-15)+ln(12-2x) ?
The domain of sqrt(3x-15)+ln(12-2x) is 5<= x<6