What is the domain of f(x)=(sqrt(5t)-17)/(6+4t) ?

The domain of f(x)=(sqrt(5t)-17)/(6+4t) is t>= 0

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domain of f(x)=(sqrt(5t)-17)/(6+4t)

domain

t \geq 0

Interval Notation

[0, \infty)

Solution steps

Find non-negative values for radicals:

t \geq 0

Find undefined (singularity) points:

t = - \frac{3}{2}

Combine real regions and undefined points for final function domain

t \geq 0

What is the domain of f(x)=(sqrt(5t)-17)/(6+4t) ?
The domain of f(x)=(sqrt(5t)-17)/(6+4t) is t>= 0