The inverse of a function is given as √x - 1
Inverse of a function
To get the inverse of any function f(x) we need to ensure that it passes the horizontal line test.
Given the following function
f(x) = (x+1)^2
Let y= f(x) to have:
y = (x+1)^2
Replace y with x to have:
x = (y+1)^2
Make y the subject of the formula
√x =y + 1
Subtract 1 from both sides
√x - 1 = y
Swap
y = √x - 1
Hence the inverse of a function is given as √x - 1
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