What is the domain of (2^x+5^x)/(5^x-2^x) ?

The domain of (2^x+5^x)/(5^x-2^x) is x 0

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domain of (2^x+5^x)/(5^x-2^x)

domain

\frac{2 ^{x} + 5 ^{x}}{5 ^{x} - 2 ^{x}}

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

e^{6 x}

f (x) = \frac{- 24}{x ^{2} + 8}

f (x) = \frac{1}{24} (x - 2)^{2}

y = arccosh (5 x)

f (x) = \frac{x ( x + ∣ x ∣ )}{ln ( x ^{2} + 1 )}

What is the domain of (2^x+5^x)/(5^x-2^x) ?
The domain of (2^x+5^x)/(5^x-2^x) is x<0\lor x>0