Find the inverse of \(\displaystyle{x}^{{2}}+{4}{x}+{1},{\left[-{2},{0}\right)}\)

Gustavo Lam

Gustavo Lam

Answered question

2022-04-15

Find the inverse of x2+4x+1,[2,0)

Answer & Explanation

ditumpasz9xj

ditumpasz9xj

Beginner2022-04-16Added 8 answers

Take y2+4y+1x=0
and solve the quadratic: y=4±164(1x)2=2±x+3
Now decide which sign you take the ± as in your interval.
Mdladlaqe2t

Mdladlaqe2t

Beginner2022-04-17Added 7 answers

Using the quadratic formula, you get that
x=y2+4y+1y=2±4(1x)=2±x+3.
You will have to take the + sign here; otherwise, x<2.
So, f1(x)=2+x+3 when x[2,0)

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