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

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

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

domain

f (x) = x + 2 + x - 7

x \geq 7

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 7

The function domain

x \geq 7

8 + ln (5 + 3 x)

f (x) = 300 x - x^{2}

f (x) = \frac{10}{( 1 - 3 x ) ^{2}}

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

\frac{x + 1}{3 - x}

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