What is the domain of f(x)=sqrt(25-5^x) ?

The domain of f(x)=sqrt(25-5^x) is x<= 2

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domain of f(x)=sqrt(25-5^x)

domain

f (x) = 25 - 5^{x}

x \leq 2

Interval Notation

(- \infty, 2]

Solution steps

Find non-negative values for radicals:

x \leq 2

The function domain

x \leq 2

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

f (x) = 12 x - 2148

\frac{x + 9}{x - 4}

\frac{5 - 2 x}{- 7 x}

f (x) = 9 x - 1620

What is the domain of f(x)=sqrt(25-5^x) ?
The domain of f(x)=sqrt(25-5^x) is x<= 2