What is the domain of f(x)=(x+9)/(sqrt(-x^2-3x+4)) ?

The domain of f(x)=(x+9)/(sqrt(-x^2-3x+4)) is -4<x<1

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domain of f(x)=(x+9)/(sqrt(-x^2-3x+4))

domain

f (x) = \frac{x + 9}{- x ^{2} - 3 x + 4}

- 4 < x < 1

Solution steps

Find non-negative values for radicals:

- 4 \leq x \leq 1

Find undefined (singularity) points:

x = - 4, x = 1

Combine real regions and undefined points for final function domain

- 4 < x < 1

2^{- x}

f (x) = \frac{5}{4 x + 24}

f (x) = ln (9 x - 21) + 2021

- 3 x + 4

- 3 x - 4

What is the domain of f(x)=(x+9)/(sqrt(-x^2-3x+4)) ?
The domain of f(x)=(x+9)/(sqrt(-x^2-3x+4)) is -4<x<1