If the inverse exists, how do I find the inverse to this function:
$$
f(x)= x^2 – 6x + 11
$$
with $x \le 3$
Stuck at the quadtric formula. I think i have got the right answer which is $x = 3 ± \sqrt{y-2}$ ? But it doesnt seem right.
[Math] How to find the inverse to $f(x)= x^2 – 6x + 11 $
functionsinverse
Best Answer
If the inverse exists, you just write $y=x^2-6x+11$ and use the quadratic formula to get $x$ in terms of $y$. To see if it exists, you need to ensure that for a given $y$ there is only one $x$. The obvious threat is the $\pm$ sign in the quadratic formula.