Find the inverse of f(x)=(2x)/(x+1), if x>-1.

permaneceerc

permaneceerc

Answered question

2021-08-08

Find the inverse of f(x)=2xx+1, if x1.

Answer & Explanation

Delorenzoz

Delorenzoz

Skilled2021-08-09Added 91 answers

To find the inverse, switch x and y in the equation and then solve for y:
x=2yy+1
(y+1)x=2y
xy+x=2y
x=2yxy
x=y(2x)
x(2x)=y
The inverse is x2x This would have a domain restriction of x not equal zero

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