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

The domain of f(x)=sqrt((x-10)/2) is x>= 10

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

domain

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

x \geq 10

Interval Notation

[10, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 10

The function domain

x \geq 10

\frac{x - 1}{2 x + 9}

f (x) = \frac{2 x ^{2} - 9}{2 x ^{2} - 18}

5 x^{2} + 2 x - 1

5 x^{2} + 2 x - 8

5 x^{2} + 2 x - 4

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