What is the domain of f(x)=log_{10}(x^2+4) ?

The domain of f(x)=log_{10}(x^2+4) is -infinity <x<infinity

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domain of f(x)=log_{10}(x^2+4)

domain

f (x) = lo g_{10} (x^{2} + 4)

- \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

y = 2 sin (x)

b

y - 1

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

y = - 3 2 x + 6 + 7

What is the domain of f(x)=log_{10}(x^2+4) ?
The domain of f(x)=log_{10}(x^2+4) is -infinity <x<infinity