Question

What equation is the inverse of y = 16x^2 + 1?

Answer 1

Are you looking to find the inverse function of the one given?

Answer 2

Switch y and x around and solve for y

Answer 3

Yes, @Jhannybean.

Answer 4

Ok, then I would start by what @DanJS has recommended as well.

Answer 5

This function is NOT one-to-one, so there will be no inverse "function"

Answer 6

you can find two different equations to model the inverse image

Answer 7

Ohh, because the function does not pass the horizontal line test?

Answer 8

correct

Answer 9

ah right,

Answer 10

But the original post said nothing about a function, so you can find the inverse relation.

Answer 11

which is what you will get if you keep going like you were before I rudely butted in.

Answer 12

I got \[y=\pm \sqrt{x-1}\div16\]

Answer 13

And the drawing is not to scale by the way, it's just a rough sketch of what it looks like.

Answer 14

the 16 should be on the inside \(y=\pm\sqrt{\frac{x-1}{16}}=\pm\frac{\sqrt{x-1}}{4}\)

Answer 15

ok