What is the domain of f(x)=sqrt((x-7)/2) ?

The domain of f(x)=sqrt((x-7)/2) is x>= 7

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domain of f(x)=sqrt((x-7)/2)

domain

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

x \geq 7

Interval Notation

[7, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 7

The function domain

x \geq 7

- 3 x + 5 - x - 1

y = \frac{x + 3}{lo g _{2} ( x ^{2} - 4 )}

f (x) = \frac{5 x + 3}{x + 7}

\frac{x \cdot ( x - 3 )}{( \frac{5}{x + 4} - 3 ) ( x - 3 )}

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

What is the domain of f(x)=sqrt((x-7)/2) ?
The domain of f(x)=sqrt((x-7)/2) is x>= 7