Exercise 1 | Wiskunde op Tilburg University

Determine the inverse of

$y(x)=(x+1)^2$ .

Antwoord 1 correct

Correct

Antwoord 2 optie

$x(y)=\sqrt{y}-1$

Antwoord 2 correct

Fout

Antwoord 3 optie

$x(y)=\sqrt{y} +1$

Antwoord 3 correct

Fout

Antwoord 4 optie

None of the other answers is correct.

Antwoord 4 correct

Fout

Antwoord 1 optie

This inverse does not exist.

Antwoord 1 feedback

Correct: For every

$y\geq 0$ the equation

$y=(x+1)^2$ is met by both

$x=\sqrt{y}-1$ and

$x=-\sqrt{y}-1$ . Hence, the equation

$y=(x+1)^2$ has multiple solutions. Therefore,

$y(x)$ has no inverse.

Go on.

Antwoord 2 feedback

Wrong: This is not the only solution of the equation.

Try again.

Antwoord 3 feedback

Wrong: Consider the minus-sign.

Try again.

Antwoord 4 feedback

Wrong: The correct answer is among them.

Try again.