What is the domain of ((x-7)^2(5-x))/(sqrt(x+1)-1) ?

The domain of ((x-7)^2(5-x))/(sqrt(x+1)-1) is -1 0

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domain of ((x-7)^2(5-x))/(sqrt(x+1)-1)

domain

\frac{( x - 7 ) ^{2} ( 5 - x )}{x + 1 - 1}

- 1 \leq x < 0 or x > 0

Interval Notation

[- 1, 0) \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 1 \leq x < 0 or x > 0

f (x) = \frac{1}{1 - 2 cos ( x )}

F (x) = 10 x + 4

8 - 7 x

v (x) = x - 6

f (x) = \frac{2 x - 5}{6 x - 2}

What is the domain of ((x-7)^2(5-x))/(sqrt(x+1)-1) ?
The domain of ((x-7)^2(5-x))/(sqrt(x+1)-1) is -1<= x<0\lor x>0