What is the domain of f(x)=(e^x)/(e^x-4) ?

The domain of f(x)=(e^x)/(e^x-4) is x 2ln(2)

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domain of f(x)=(e^x)/(e^x-4)

domain

f (x) = \frac{e ^{x}}{e ^{x} - 4}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2 ln (2)

The function domain

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

f (x) = \frac{13 x ^{3}}{7 x ^{2} + 6}

2 y - 4 x = - 16

- x^{2} - 13 x - 12

(0, 2), (3, 1)

f (x) = 2 x^{4} - 12 x^{2}

What is the domain of f(x)=(e^x)/(e^x-4) ?
The domain of f(x)=(e^x)/(e^x-4) is x<2ln(2)\lor x>2ln(2)