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

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

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

domain

f (x) = \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

(x + 3)^{2} + 6

x^{2} - 10000 x - 24000000

f (x) = 32 x^{3}

- (x + 1)^{2} + 4

f (x) = (x - 1)^{2} - 2

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