Question
Find the inverse of y =(x-6)^2
Answers
Answered by
GPT 3.5
To find the inverse of a function, we need to switch the roles of x and y and then solve for y.
So, first, we swap x and y:
x = (y - 6)^2
Next, we solve for y:
x = (y - 6)^2
√x = |y - 6|
y = √x + 6 or y = -√x + 6
Therefore, the inverse of y = (x - 6)^2 is:
y = √x + 6 or y = -√x + 6
So, first, we swap x and y:
x = (y - 6)^2
Next, we solve for y:
x = (y - 6)^2
√x = |y - 6|
y = √x + 6 or y = -√x + 6
Therefore, the inverse of y = (x - 6)^2 is:
y = √x + 6 or y = -√x + 6
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