What is the domain of f(x)=ln(-x^2+5x-6) ?

The domain of f(x)=ln(-x^2+5x-6) is 2<x<3

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domain of f(x)=ln(-x^2+5x-6)

domain

f (x) = ln (- x^{2} + 5 x - 6)

2 < x < 3

Interval Notation

(2, 3)

Solution steps

Find positive values for logs:

2 < x < 3

The function domain

2 < x < 3

\frac{- 3 x + 1}{4 x + 3}

r (x) = \frac{x + 9}{x + 3}

f (x) = (x - 5)^{3}

2 x + 1, x < 0

f (x) = - 1 + 3 x + 5

What is the domain of f(x)=ln(-x^2+5x-6) ?
The domain of f(x)=ln(-x^2+5x-6) is 2<x<3