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

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])