What is the domain of f(x)=log_{8}(x^2+16) ?

The domain of f(x)=log_{8}(x^2+16) is -infinity <x<infinity

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domain of f(x)=log_{8}(x^2+16)

domain

f (x) = lo g_{8} (x^{2} + 16)

- \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{x + 3}{7 x - 2}

f (x) = \frac{3 x + 1}{x + 1} - 2

f (x) = x + 8 - 5

f (x) = \frac{- 6072 x + 38640}{2116}

f (x) = lo g_{8} (1 - 4 x)

What is the domain of f(x)=log_{8}(x^2+16) ?
The domain of f(x)=log_{8}(x^2+16) is -infinity <x<infinity