What is the domain of f(x)=0.25e^{sqrt(x^2-25)} ?

The domain of f(x)=0.25e^{sqrt(x^2-25)} is x = 5

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domain of f(x)=0.25e^{sqrt(x^2-25)}

domain

f (x) = 0.25 e^{x^{2} - 25}

x \leq - 5 or x \geq 5

Interval Notation

(- \infty, - 5] \cup [5, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 5 or x \geq 5

The function domain

x \leq - 5 or x \geq 5

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

f (x) = x - 4 + 8 - x

\frac{y + 2}{2 y + 1}

- sin (2 x)

\frac{7 x - 1}{4}

What is the domain of f(x)=0.25e^{sqrt(x^2-25)} ?
The domain of f(x)=0.25e^{sqrt(x^2-25)} is x<=-5\lor x>= 5