Question

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

Answer 1

Option 2: y = ±sqrt(
`(x+10)/(7)`)

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

`(x+10)/(7)`=y^2

sqrt(
`(x+10)/(7)`)=±y

y = ±sqrt(
`(x+10)/(7)`)