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

The domain of 3/(x-4)+sqrt(x-3) is 3 4

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domain of 3/(x-4)+sqrt(x-3)

domain

\frac{3}{x - 4} + x - 3

3 \leq x < 4 or x > 4

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

3 \leq x < 4 or x > 4

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

\frac{- 3 x + 6}{x ^{2} - 4}

f (x) = x^{3} - 6 x^{2} + 9 x

\frac{4}{x ^{2} + 1}

2 x - 5

What is the domain of 3/(x-4)+sqrt(x-3) ?
The domain of 3/(x-4)+sqrt(x-3) is 3<= x<4\lor x>4