What is the domain of f(x)= 1/(sqrt(5-2t)) ?

The domain of f(x)= 1/(sqrt(5-2t)) is t< 5/2

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domain of f(x)= 1/(sqrt(5-2t))

domain

t < \frac{5}{2}

Interval Notation

(- \infty, \frac{5}{2})

Solution steps

Find non-negative values for radicals:

t \leq \frac{5}{2}

Find undefined (singularity) points:

t = \frac{5}{2}

Combine real regions and undefined points for final function domain

t < \frac{5}{2}

What is the domain of f(x)= 1/(sqrt(5-2t)) ?
The domain of f(x)= 1/(sqrt(5-2t)) is t< 5/2