What is the domain of f(x)=sqrt(e^x+4) ?

The domain of f(x)=sqrt(e^x+4) is -infinity <x<infinity

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domain of f(x)=sqrt(e^x+4)

domain

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

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

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

- \infty < x < \infty

f (x) = \frac{2 x - 6}{x + 9}

\frac{8}{x + 2}

f (x) = \frac{3 x + 4}{- x ^{2} - 2 x + 8}

2 x - 3

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

What is the domain of f(x)=sqrt(e^x+4) ?
The domain of f(x)=sqrt(e^x+4) is -infinity <x<infinity