What is the domain of f(x)= 5/((\frac{11){x})+2} ?

The domain of f(x)= 5/((\frac{11){x})+2} is x 0

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domain of f(x)= 5/((\frac{11){x})+2}

domain

f (x) = \frac{5}{( \frac{11}{x} ) + 2}

x < - \frac{11}{2} or - \frac{11}{2} < x < 0 or x > 0

Interval Notation

(- \infty, - \frac{11}{2}) \cup (- \frac{11}{2}, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{11}{2}, x = 0

The function domain

x < - \frac{11}{2} or - \frac{11}{2} < x < 0 or x > 0

tan (x)

\frac{1 - 2 x}{6 + x}

x^{2} + x - 2

f (x) = - 4 x - 39

f (x) = 5^{x}

What is the domain of f(x)= 5/((\frac{11){x})+2} ?
The domain of f(x)= 5/((\frac{11){x})+2} is x<-11/2 \lor-11/2 <x<0\lor x>0