What is the domain of ln(1/(9-(sqrt(x+2))^2)) ?

The domain of ln(1/(9-(sqrt(x+2))^2)) is -2<= x<7

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domain of ln(1/(9-(sqrt(x+2))^2))

domain

ln (\frac{1}{9 - ( x + 2 ) ^{2}})

- 2 \leq x < 7

Interval Notation

Solution steps

Find positive values for logs:

- 2 \leq x < 7

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

- 2 \leq x < 7

f (x) = \frac{3}{x - 6}

y = \frac{2 x ^{2} - 5 x + 3}{4 x - 10}

y = 3 2 x + \frac{1}{4}

y = x^{2} - 7 x - 82

\frac{( x + 2 ) ( x + 1 ) ^{2}}{( x + 2 ) ( x - 3 )}

What is the domain of ln(1/(9-(sqrt(x+2))^2)) ?
The domain of ln(1/(9-(sqrt(x+2))^2)) is -2<= x<7