What is the domain of f(x)=sqrt(((t+1))/t) ?

The domain of f(x)=sqrt(((t+1))/t) is t 0

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domain of f(x)=sqrt(((t+1))/t)

domain

f (x) = \frac{( t + 1 )}{t}

t \leq - 1 or t > 0

Interval Notation

(- \infty, - 1] \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

t \leq - 1 or t > 0

Find undefined (singularity) points:

t = 0

Combine real regions and undefined points for final function domain

t \leq - 1 or t > 0

f (x) = - x - 5

f (x) = - x^{2} + 6 x + 16

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

3 x 4 x^{2} + 2

f (x) = x + 3 - 2

What is the domain of f(x)=sqrt(((t+1))/t) ?
The domain of f(x)=sqrt(((t+1))/t) is t<=-1\lor t>0