What is the domain of f(x)=((x*sqrt(1-x)))/((1+x)) ?

The domain of f(x)=((x*sqrt(1-x)))/((1+x)) is x<-1\lor-1<x<= 1

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domain of f(x)=((x*sqrt(1-x)))/((1+x))

domain

f (x) = \frac{( x \cdot 1 - x )}{( 1 + x )}

x < - 1 or - 1 < x \leq 1

Interval Notation

(- \infty, - 1) \cup (- 1, 1]

Solution steps

Find non-negative values for radicals:

x \leq 1

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x < - 1 or - 1 < x \leq 1

g (t) = 9 + 8^{- t}

- x + 12

- x + 10

- x + 13

- x + 14

What is the domain of f(x)=((x*sqrt(1-x)))/((1+x)) ?
The domain of f(x)=((x*sqrt(1-x)))/((1+x)) is x<-1\lor-1<x<= 1