What is the domain of f(x)= 5/(sqrt(-x^2-3x+4)) ?

The domain of f(x)= 5/(sqrt(-x^2-3x+4)) is -4<x<1

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domain of f(x)= 5/(sqrt(-x^2-3x+4))

domain

f (x) = \frac{5}{- x ^{2} - 3 x + 4}

- 4 < x < 1

Interval Notation

(- 4, 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

(- 6, 6), (2, - 4)

y = x + 7

5 sin (2 x)

y = 2 x + 6

\frac{4}{x} + 3

What is the domain of f(x)= 5/(sqrt(-x^2-3x+4)) ?
The domain of f(x)= 5/(sqrt(-x^2-3x+4)) is -4<x<1