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

The domain of f(x)=2-log_{5}(x^2) is x 0

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

domain

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

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find positive values for logs:

x < 0 or x > 0

The function domain

x < 0 or x > 0

\frac{x ^{2} + x + 1}{x ^{2} + 2 x + 1}

f (x) = \frac{x ^{2} + 7 x + 12}{x ^{4} - 5 x ^{2} + 4}

f (x) = \frac{x}{x + 9}

y = x^{2} + 5 x + 6

y = \frac{x + 1}{x}

What is the domain of f(x)=2-log_{5}(x^2) ?
The domain of f(x)=2-log_{5}(x^2) is x<0\lor x>0