What is the domain of f(x)=(x-4)/(sqrt(x-1)+2) ?

The domain of f(x)=(x-4)/(sqrt(x-1)+2) is x>= 1

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domain of f(x)=(x-4)/(sqrt(x-1)+2)

domain

f (x) = \frac{x - 4}{x - 1 + 2}

x \geq 1

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 1

The function domain

x \geq 1

f (x) = 5^{2 x - 1} - 2

x^{3} + 2 x - 3

f (x) = \frac{3 x ( x + 3 )}{( x - 2 ) ( x - 5 )}

9 x - 3

\frac{( x - 1 )}{2}

What is the domain of f(x)=(x-4)/(sqrt(x-1)+2) ?
The domain of f(x)=(x-4)/(sqrt(x-1)+2) is x>= 1