What is the domain of f(x)=4+5/(1+sqrt(x-3)) ?

The domain of f(x)=4+5/(1+sqrt(x-3)) is x>= 3

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domain of f(x)=4+5/(1+sqrt(x-3))

domain

f (x) = 4 + \frac{5}{1 + x - 3}

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) = arcsin (3 x - 4 x^{3})

f (x) = \frac{1}{3 x + 1}

\frac{ln ( x )}{x}

f (x) = x^{3} - 9 x

What is the domain of f(x)=4+5/(1+sqrt(x-3)) ?
The domain of f(x)=4+5/(1+sqrt(x-3)) is x>= 3