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) = e^{x - 11} - 8

\frac{2}{x - 3}

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

f (x) = \frac{x - 2}{3 x + 5}

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