What is the domain of P(t)=(sqrt(t-6))/(4t-28) ?

The domain of P(t)=(sqrt(t-6))/(4t-28) is 6 7

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domain of P(t)=(sqrt(t-6))/(4t-28)

domain

P (t) = \frac{t - 6}{4 t - 28}

6 \leq t < 7 or t > 7

Interval Notation

[6, 7) \cup (7, \infty)

Solution steps

Find non-negative values for radicals:

t \geq 6

Find undefined (singularity) points:

t = 7

Combine real regions and undefined points for final function domain

6 \leq t < 7 or t > 7

f (x) = x^{2} + 6 x + 3

\frac{6 x}{x + 7}

\frac{x}{x + 3}

x^{3} - 12 x + 1

y = 2.5 x, (2, 5)

What is the domain of P(t)=(sqrt(t-6))/(4t-28) ?
The domain of P(t)=(sqrt(t-6))/(4t-28) is 6<= t<7\lor t>7