What is the domain of (2e^x+3)/(e^x-4) ?

The domain of (2e^x+3)/(e^x-4) is x 2ln(2)

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domain of (2e^x+3)/(e^x-4)

domain

\frac{2 e ^{x} + 3}{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)

- \frac{cos ( π \frac{11 x}{6} )}{2} - 2

f (x) = \frac{1}{9 - t}

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

csc (\frac{π}{3} x + π)

y = lo g_{3} (x)

What is the domain of (2e^x+3)/(e^x-4) ?
The domain of (2e^x+3)/(e^x-4) is x<2ln(2)\lor x>2ln(2)