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

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

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

domain

f (x) = lo g_{2} (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) = e^{3 x} - x - 9

x + 4 (\frac{x + 1}{2})

f (x) = 60 \cdot 16 - x

- \frac{∣ x + 4 ∣}{x + 4}

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