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

Question

jhannybean · Answer

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

danjs · Answer

Switch y and x around and solve for y

anonymous · Answer

Yes, @Jhannybean.

jhannybean · Answer

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

zzr0ck3r · Answer

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

zzr0ck3r · Answer

you can find two different equations to model the inverse image

jhannybean · Answer

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

zzr0ck3r · Answer

correct

danjs · Answer

ah right,

zzr0ck3r · Answer

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

zzr0ck3r · Answer

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

anonymous · Answer

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

jhannybean · Answer

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

zzr0ck3r · Answer

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

anonymous · Answer

ok

jhannybean · Answer

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