What is the domain of f(x)=log_{1/3}(2x^2-12x+22) ?

The domain of f(x)=log_{1/3}(2x^2-12x+22) is -infinity <x<infinity

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domain of f(x)=log_{1/3}(2x^2-12x+22)

domain

f (x) = lo g_{\frac{1}{3}} (2 x^{2} - 12 x + 22)

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find positive values for logs:

- \infty < x < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

f (x) = \frac{5 - x}{x + 8}

f (x) = 1 - sin (x)

x^{2} - 3 x - 4

f (x) = 1 + ln (x)

- \frac{1}{2} x - 3

What is the domain of f(x)=log_{1/3}(2x^2-12x+22) ?
The domain of f(x)=log_{1/3}(2x^2-12x+22) is -infinity <x<infinity