What is the domain of (5e^x)/(e^x-4) ?

The domain of (5e^x)/(e^x-4) is x 2ln(2)

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domain of (5e^x)/(e^x-4)

domain

\frac{5 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{- 6 x + 5}{7 x + 2}

f (x) = sin (x) + cos (x)

f (x) = x + 1

- 2

(- 0, - 2), (- 4, 4)

What is the domain of (5e^x)/(e^x-4) ?
The domain of (5e^x)/(e^x-4) is x<2ln(2)\lor x>2ln(2)