What is the domain of f(x)=sqrt(1/(-x^2+9x+10)) ?

The domain of f(x)=sqrt(1/(-x^2+9x+10)) is -1<x<10

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domain of f(x)=sqrt(1/(-x^2+9x+10))

domain

f (x) = \frac{1}{- x ^{2} + 9 x + 10}

- 1 < x < 10

Interval Notation

(- 1, 10)

Solution steps

Find non-negative values for radicals:

- 1 < x < 10

Find undefined (singularity) points:

x = - 1, x = 10

Combine real regions and undefined points for final function domain

- 1 < x < 10

f (x) = (x + 2)^{3} - 3

f (x) = (x + 2)^{3} - 2

3 x + 11

(x - 2)^{2} + 4

\frac{sin ( x )}{x}

What is the domain of f(x)=sqrt(1/(-x^2+9x+10)) ?
The domain of f(x)=sqrt(1/(-x^2+9x+10)) is -1<x<10