Question

Identify the errors made in finding the inverse of

y = x2 + 12x
x= y2 + 12x
y2 = x -12
y2 = -11x
y= V-11x, for x 20
Describe the three errors

Answer 1

x = y² + 12x

y² = x - 12

y² = -11x.

Explanation:

We need to find the inverse of the given function , which is ,

`\rm\implies y = x^2 + 12x`

Step 1 : Interchange x and y :-

`\rm\implies x = y^2 + 12y`

But according to the steps given in the Question , in very first step in 12x , x is not replaced by y . After which , the steps go wrong in the question .

The 3 errors :-

• x = y² + 12x
• y² = x - 12
• y² = -11x.