devonjwalker111
devonjwalker111 devonjwalker111
  • 15-06-2022
  • Mathematics
contestada

Which equation is the inverse of y = 9x² - 4?​

Respuesta :

Аноним Аноним
  • 15-06-2022

Answer:

y = ± [ √(x+4) ] / 3

Step-by-step explanation:

1) To find the inverse of the function y = 9x2 – 4, exchange the variables x and y, and then solve for the new y.

2) Exchange of the variables: y = 9x^2 – 4 → x = 9y^2 – 4

3) Solve for y:

=> 9y^2 = x + 4

=> y^2=> y = ± [ √(x + 4) ] / 9

= > y = ± [ √(x + 4) ] / 3

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