What is the domain of f(x)=(4x)/(10-sqrt(2x-46)) ?

The domain of f(x)=(4x)/(10-sqrt(2x-46)) is 23 73

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domain of f(x)=(4x)/(10-sqrt(2x-46))

domain

f (x) = \frac{4 x}{10 - 2 x - 46}

23 \leq x < 73 or x > 73

Interval Notation

[23, 73) \cup (73, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 23

Find undefined (singularity) points:

x = 73

Combine real regions and undefined points for final function domain

23 \leq x < 73 or x > 73

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f (x) = e^{8 x + 5}

f (x) = \frac{x - 2}{2 x - 1}

- n sin (2 πn)

f (x) = \frac{8 x}{x - 3}

What is the domain of f(x)=(4x)/(10-sqrt(2x-46)) ?
The domain of f(x)=(4x)/(10-sqrt(2x-46)) is 23<= x<73\lor x>73