What is the domain of f(x)= 3/(4+5/x) ?

The domain of f(x)= 3/(4+5/x) is x 0

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domain of f(x)= 3/(4+5/x)

domain

f (x) = \frac{3}{4 + \frac{5}{x}}

x < - \frac{5}{4} or - \frac{5}{4} < x < 0 or x > 0

Interval Notation

(- \infty, - \frac{5}{4}) \cup (- \frac{5}{4}, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{5}{4}, x = 0

The function domain

x < - \frac{5}{4} or - \frac{5}{4} < x < 0 or x > 0

r (x) = \frac{x ^{2} - 2 x - 8}{x ^{2} + 4 x}

f (x) = x (x) = ln (4 - x)

(x - 1) (\frac{300}{x} - 2)

f (x) = - 5 x - 2 y = 1

x^{4} - 2 x^{2} - 3 x - 2

What is the domain of f(x)= 3/(4+5/x) ?
The domain of f(x)= 3/(4+5/x) is x<-5/4 \lor-5/4 <x<0\lor x>0