Answer :
The inverse of the given function is y = [tex]\rm \sqrt {x/2}[/tex].
What is a Function ?
A function is a mathematical statement used to relate a dependent and an independent variable.
The function given is
y = 2x²
To find the Inverse of a function ,
The x and y are interchanged and the function is again written in terms of x
Here
x = 2y²
y² = x/2
y = [tex]\rm \sqrt {x/2}[/tex]
Therefore the inverse of the given function is y = [tex]\rm \sqrt {x/2}[/tex].
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