What is the domain of f(x)=log_{5}(x^2+16) ?

The domain of f(x)=log_{5}(x^2+16) is -infinity <x<infinity

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domain of f(x)=log_{5}(x^2+16)

domain

f (x) = lo g_{5} (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{1}{lo g _{10} ( x + 2 )}

f (x) = lo g_{2} (\frac{- x - 1}{x - 1})

f (x) = 3 \cdot (- 7)

f (x) = 2 x^{2} + 4

f (x) = 2^{x - 4}

What is the domain of f(x)=log_{5}(x^2+16) ?
The domain of f(x)=log_{5}(x^2+16) is -infinity <x<infinity