What is the domain of f(x)=(sqrt(t-5))/(2t-16) ?

The domain of f(x)=(sqrt(t-5))/(2t-16) is 5 8

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domain of f(x)=(sqrt(t-5))/(2t-16)

domain

f (x) = \frac{t - 5}{2 t - 16}

5 \leq t < 8 or t > 8

Interval Notation

[5, 8) \cup (8, \infty)

Solution steps

Find non-negative values for radicals:

t \geq 5

Find undefined (singularity) points:

t = 8

Combine real regions and undefined points for final function domain

5 \leq t < 8 or t > 8

4 x^{2} - 1

f (x) = 1 - x + 3

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

f (x) = 3^{x - 2} + 1

g (x) = x^{2} + 4

What is the domain of f(x)=(sqrt(t-5))/(2t-16) ?
The domain of f(x)=(sqrt(t-5))/(2t-16) is 5<= t<8\lor t>8