What is the domain of f(x)= 4/(sqrt(x-7)) ?

The domain of f(x)= 4/(sqrt(x-7)) is x>7

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domain of f(x)= 4/(sqrt(x-7))

domain

f (x) = \frac{4}{x - 7}

x > 7

Interval Notation

(7, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 7

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

x > 7

f (x) = lo g_{10} (x)

y = lo g_{10} (1 - 6 x)

f (x) = - x - 4 + 9

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

f (x) = \frac{- 7}{6} x

What is the domain of f(x)= 4/(sqrt(x-7)) ?
The domain of f(x)= 4/(sqrt(x-7)) is x>7