Answered

Find detailed and accurate answers to your questions on IDNLearn.com. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

Identify the errors made in finding the inverse of
y = x2 + 12x.

An image shows a student's work. Line 1 is x = y squared + 12 x. Line 2 is y squared = x minus 12 x. Line 3 is y squared = negative 11 x. Line 4 is y = StartRoot negative 11 x EndRoot, for x greater-than-or-equal 0.
Describe the three errors.

Sagot :

MrRoyalidn

The errors made by the student are:

  • The variables y and x are not properly swapped
  • The square root should include the ± sign
  • The domain of the function is incorrect

How to identify the errors?

The equation is given as:

[tex]y = x^2 + 12x[/tex]

The first step of the student is given as:

[tex]x = y^2 + 12x[/tex]

This is incorrect because the variables x and y must be completely swapped.

So, the actual step is [tex]x = y^2 + 12y[/tex]

The second step is given as:

[tex]y^2 = x - 12x[/tex]

The third step is given as:

[tex]y^2 = - 11x[/tex]

The last step is given as:

[tex]y = \sqrt{-11x}[/tex] for [tex]x \ge 0[/tex]

This is incorrect because [tex]y = \sqrt{-11x}[/tex]  would have complex solution for [tex]x \ge 0[/tex] and the square root needs to have a ±

Read more about inverse functions at:

https://brainly.com/question/14796161

#SPJ1

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.