What is the domain of f(x)=log_{5}(3x^2-5x+2) ?

The domain of f(x)=log_{5}(3x^2-5x+2) is x 1

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domain of f(x)=log_{5}(3x^2-5x+2)

domain

f (x) = lo g_{5} (3 x^{2} - 5 x + 2)

x < \frac{2}{3} or x > 1

Interval Notation

(- \infty, \frac{2}{3}) \cup (1, \infty)

Solution steps

Find positive values for logs:

x < \frac{2}{3} or x > 1

The function domain

x < \frac{2}{3} or x > 1

f (x) = x + a

- 5 x - 10

y = \frac{x - 5}{x ^{2} - 4 x}

5 - 3 x

f (x) = \frac{2}{3} (x - 2)^{2} - 5

What is the domain of f(x)=log_{5}(3x^2-5x+2) ?
The domain of f(x)=log_{5}(3x^2-5x+2) is x< 2/3 \lor x>1