What is the domain of f(x)= 5/(sqrt(3^{x+1)-27)} ?

The domain of f(x)= 5/(sqrt(3^{x+1)-27)} is x>2

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domain of f(x)= 5/(sqrt(3^{x+1)-27)}

domain

f (x) = \frac{5}{3 ^{x + 1} - 27}

x > 2

Interval Notation

(2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x > 2

f (x) = \frac{2 x - 1}{x + 5}

f (x) = lo g_{3} (1 - 2^{x})

f (x) = \frac{2 x - 1}{x + 4}

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

What is the domain of f(x)= 5/(sqrt(3^{x+1)-27)} ?
The domain of f(x)= 5/(sqrt(3^{x+1)-27)} is x>2