Respuesta :
Answer:
[tex]x=2y^{2}[/tex]
Step-by-step explanation:
The given function is
[tex]y=2x^{2}[/tex]
To the inverse, first we isolate [tex]x[/tex]
[tex]y=2x^{2}\\x^{2} =\frac{y}{2}\\[/tex]
Then, we change variables
[tex]y^{2}=\frac{x}{2}[/tex], this is the inverse of the given function.
Now, if you observe the choices, the last one is the inverse
[tex]x=2y^{2}[/tex], just move the number two, and it's the same result
[tex]y^{2}=\frac{x}{2}[/tex]
Therefore, the right answer is the last choice.
