What is the domain of sqrt(x-4)*3/(x-1) ?

The domain of sqrt(x-4)*3/(x-1) is x>= 4

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domain of sqrt(x-4)*3/(x-1)

domain

x - 4 \cdot \frac{3}{x - 1}

x \geq 4

Interval Notation

[4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x \geq 4

f (x) = \frac{12}{x ^{2} - 25} - 3

f (x) = x^{2} + 1, 0 \leq x \leq 5

f (x) = - 4 x + 10, x \neq = 3

f (x) = 4 + 3 x - x^{2}

What is the domain of sqrt(x-4)*3/(x-1) ?
The domain of sqrt(x-4)*3/(x-1) is x>= 4