ellahamachek
ellahamachek ellahamachek
  • 12-06-2020
  • Mathematics
contestada

what equation is the inverse of y=7x^2-10?

what equation is the inverse of y7x210 class=

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oillampcuh
oillampcuh oillampcuh
  • 12-06-2020

Answer:

Option 2: y = ±sqrt([tex]\frac{x+10}{7}[/tex])

Step-by-step explanation:

y = 7x^2 - 10

         To find the inverse of a function, you must swap the y and x.

x = 7y^2 - 10

         Now I will just simplify to have y by itself on the left hand side.

x + 10 = 7y^2

[tex]\frac{x+10}{7}[/tex]=y^2

sqrt([tex]\frac{x+10}{7}[/tex])=±y

y = ±sqrt([tex]\frac{x+10}{7}[/tex])

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