Find the range of x^2/(1-x^2)

Rory Moran

Rory Moran

Answered question

2023-02-17

Find the range of x 2 1 - x 2

Answer & Explanation

i1goqnkb

i1goqnkb

Beginner2023-02-18Added 5 answers

y = x 2 1 - x 2
y - y x 2 = x 2
y = ( y + 1 ) x 2
x 2 = y y + 1
The equation has solutions if y y + 1 0
y 0 and y+1>0, that is y 0 .
y 0 and y+1<0. That is y<−1
The range x 2 1 - x 2 - ( - , - 1 ) [ 0 , )

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