What is the domain of (a^x-a^{-x})/2 ?

The domain of (a^x-a^{-x})/2 is a>0\lor (x>0\land a=0)

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domain of (a^x-a^{-x})/2

domain

\frac{a ^{x} - a ^{- x}}{2}

a > 0 or (x > 0 and a = 0)

Interval Notation

a \in (0, \infty) \cup (x \in (0, \infty) \cap a = 0)

Solution steps

Check exponents domain:

a > 0 or (x > 0 and a = 0)

The function domain

a > 0 or (x > 0 and a = 0)

lo g_{10} (x^{2} - 6 x + 9)

f (x) = 5 + 2 x

\frac{x - 7}{x ^{2} + 14 x + 49}

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

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

What is the domain of (a^x-a^{-x})/2 ?
The domain of (a^x-a^{-x})/2 is a>0\lor (x>0\land a=0)