What is the domain of g(x)=-1/(2sqrt(-x+7)) ?

The domain of g(x)=-1/(2sqrt(-x+7)) is x<7

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domain of g(x)=-1/(2sqrt(-x+7))

domain

g (x) = - \frac{1}{2 - x + 7}

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

\frac{x ^{3} + 3 x ^{2} - 4 x}{- 4 x ^{2} + 4 x + 8}

y = \frac{x}{3} - 7

f (x) = 18500 (0.36 - x^{2})

G (t) = \frac{1 - 2 t}{3 + t}

f (x) = \frac{x ^{2}}{8 - x ^{2}}

What is the domain of g(x)=-1/(2sqrt(-x+7)) ?
The domain of g(x)=-1/(2sqrt(-x+7)) is x<7