What is the domain of (sqrt(s-1))/(s-4) ?

The domain of (sqrt(s-1))/(s-4) is 1 4

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domain of (sqrt(s-1))/(s-4)

domain

\frac{s - 1}{s - 4}

1 \leq s < 4 or s > 4

Interval Notation

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

Solution steps

Find non-negative values for radicals:

s \geq 1

Find undefined (singularity) points:

s = 4

Combine real regions and undefined points for final function domain

1 \leq s < 4 or s > 4

y = \frac{x - 5}{2 x + 3}

f (x) = \frac{2 x + 7}{3 x - 13}

(0, 0), (7, 2)

- sin (4 x)

y = 2^{x - 3}

What is the domain of (sqrt(s-1))/(s-4) ?
The domain of (sqrt(s-1))/(s-4) is 1<= s<4\lor s>4