What is the domain of f(x)=sqrt((x-2)+5) ?

The domain of f(x)=sqrt((x-2)+5) is x>=-3

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domain of f(x)=sqrt((x-2)+5)

domain

f (x) = (x - 2) + 5

x \geq - 3

Interval Notation

[- 3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 3

The function domain

x \geq - 3

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

\frac{x ^{2} - 81}{8 x + 9}

f (x) = \frac{4}{( x ^{2} - 16 )}

f (x) = e^{x - 5}

- 2 x^{2} + 4 x - 4

What is the domain of f(x)=sqrt((x-2)+5) ?
The domain of f(x)=sqrt((x-2)+5) is x>=-3