Find the inverse of the function:
f(x) = 6x^2 + 2x + 5

Question

Find the inverse of the function:
f(x) = 6x^2 + 2x + 5

anonymous · Answer

Wait a sec

anonymous · Answer

K this questions a bit weird is it a part of another question?
Cause in functions you cant have a parabolic equ.

anonymous · Answer

a what?

anonymous · Answer

oh I see

anonymous · Answer

I just did a whole assignment that took me 4 hours with the notion that this was a function. This was my last question on it. -.-

anonymous · Answer

But if its a basic functions i guess you could still do it

anonymous · Answer

so it still works as a function?

anonymous · Answer

Wait a sec let me work something out

anonymous · Answer

when x=7 then f(7)=313 so doesnt that make it a function?

anonymous · Answer

So we have x values

anonymous · Answer

?

anonymous · Answer

So the problem here is that for every x value we put in the equ. We get a y value back

anonymous · Answer

But for every y value we put in the equ. We get 2 x values

anonymous · Answer

Have you ever heard of one to one function?

anonymous · Answer

Anyways goodluck
I gtg

anonymous · Answer

yea but there can be two x values for one y

anonymous · Answer

$$y=6x^2+2x+5\rightarrow 6x^2+2x+5-y=0$$$$x=\frac{ -2+\sqrt{4-4·6·(5-y)} }{ 12}=\frac{ \sqrt{6y-29}-1 }{ 6 }$$

anonymous · Answer

I don't think that the function has inverse
The idea is to complete the square  then solve for x, the problem that u did not specify any interval , however , to make the inverse possible you should consider any interval includes only one complete half the parabola or some interval of it