nosamdabest nosamdabest
  • 29-08-2022
  • Mathematics
contestada

Find the inverse of the function.
y = 2x²-4

Respuesta :

djp6182583 djp6182583
  • 29-08-2022

Answer:

Below in bold.

Step-by-step explanation:

y = 2x²-4

First find x in terms of y:

2x² = y - 4

x² = (y - 4)/2

x = √ [(y - 4)/2]

Now replace x by the inverse f-1(x) and y by x:

f-1(x) = √ [(x - 4)/2]  (Note: it's the positive square root only)

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