What is the domain of f(x)=x-5/(g(x))(x)=sqrt(x+6) ?

The domain of f(x)=x-5/(g(x))(x)=sqrt(x+6) is x>=-6

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domain of f(x)=x-5/(g(x))(x)=sqrt(x+6)

domain

f (x) = x - \frac{5}{g ( x )} (x) = x + 6

x \geq - 6

Interval Notation

[- 6, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 6

The function domain

x \geq - 6

\frac{3 + x}{x - 2}

9 - x

f (x) = \frac{1}{17 - t}

x + 3 - 1

f (x) = - \frac{7}{2 x ^{\frac{3}{2}}}

What is the domain of f(x)=x-5/(g(x))(x)=sqrt(x+6) ?
The domain of f(x)=x-5/(g(x))(x)=sqrt(x+6) is x>=-6