What is the domain of f(x)=sqrt(5-e^x) ?

The domain of f(x)=sqrt(5-e^x) is x<= ln(5)

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domain of f(x)=sqrt(5-e^x)

domain

f (x) = 5 - e^{x}

x \leq ln (5)

Interval Notation

(- \infty, ln (5)]

Solution steps

Find non-negative values for radicals:

x \leq ln (5)

The function domain

x \leq ln (5)

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

2 (\frac{1}{3})^{x}

f (x) = 5 x^{2} + 20 x - 17

\frac{x - 3}{x ^{2} - 1}

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

What is the domain of f(x)=sqrt(5-e^x) ?
The domain of f(x)=sqrt(5-e^x) is x<= ln(5)