What is the domain of f(x)=-1/(2(7-x)^{1/2)} ?

The domain of f(x)=-1/(2(7-x)^{1/2)} is x<7

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domain of f(x)=-1/(2(7-x)^{1/2)}

domain

f (x) = - \frac{1}{2 ( 7 - x ) ^{\frac{1}{2}}}

x < 7

Interval Notation

(- \infty, 7)

Solution steps

Find non-negative values for radicals:

x \leq 7

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

x < 7

g (x) = - 4 - \frac{9}{2} x

y = 0.15 x + 37.4

(2, - 4), (2, 4)

f (x) = x^{2} + x - 20

0. 3^{x}

What is the domain of f(x)=-1/(2(7-x)^{1/2)} ?
The domain of f(x)=-1/(2(7-x)^{1/2)} is x<7