What is the domain of f(x)=(e^x+1)/(e^x-2) ?

The domain of f(x)=(e^x+1)/(e^x-2) is x ln(2)

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domain of f(x)=(e^x+1)/(e^x-2)

domain

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

x < ln (2) or x > ln (2)

Interval Notation

(- \infty, ln (2)) \cup (ln (2), \infty)

Solution steps

Find undefined (singularity) points:

x = ln (2)

The function domain

x < ln (2) or x > ln (2)

x^{4} - 8 x^{3} + 16 x^{2} + 5

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

y = cot (2 x)

y = \frac{4}{3} π x^{3}

f (x) = - 2 x + 6 y - 12 = 0

What is the domain of f(x)=(e^x+1)/(e^x-2) ?
The domain of f(x)=(e^x+1)/(e^x-2) is x<ln(2)\lor x>ln(2)