What is the domain of f(x)=(3e^x)/(e^x-2) ?

The domain of f(x)=(3e^x)/(e^x-2) is x ln(2)

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domain of f(x)=(3e^x)/(e^x-2)

domain

f (x) = \frac{3 e ^{x}}{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)

f (x) = 2 sin (2 x)

f (x) = x^{2} - 20 x + 104

2 x^{2} - 13 x - 7

f (x) = \frac{2 x + 2}{x ^{2} + 3 x - 40}

What is the domain of f(x)=(3e^x)/(e^x-2) ?
The domain of f(x)=(3e^x)/(e^x-2) is x<ln(2)\lor x>ln(2)