What is the domain of f(x)=((sqrt(t-4)))/(4t-24) ?

The domain of f(x)=((sqrt(t-4)))/(4t-24) is 4 6

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domain of f(x)=((sqrt(t-4)))/(4t-24)

domain

f (x) = \frac{( t - 4 )}{4 t - 24}

4 \leq t < 6 or t > 6

Interval Notation

[4, 6) \cup (6, \infty)

Solution steps

Find non-negative values for radicals:

t \geq 4

Find undefined (singularity) points:

t = 6

Combine real regions and undefined points for final function domain

4 \leq t < 6 or t > 6

\frac{4 x ^{2} + 28 x + 40}{x + 5}

f (x) = \frac{x - 8}{x ^{2} - 3 x - 40}

\frac{sin ( x )}{7 - e ^{2 x - 3}}

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

y = x^{2} + 36

What is the domain of f(x)=((sqrt(t-4)))/(4t-24) ?
The domain of f(x)=((sqrt(t-4)))/(4t-24) is 4<= t<6\lor t>6