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Hi, I'm struggling to understand this whole problem. I did attempt to do #4 (not sure if it's right?), but as for #1-3 I have no idea where to even start. Thank you for your help!

This is the problems:

Let y(x) = ax^{2} + bx + c. The function y(x) is not invertible, however, like the function f(x) = x^{2} we can make some restrictions on its domain to make it invertible. Hint: Think of the example (x^{2}) given above.

- Find the largest possible domain where y(x) is invertible
- Find its inverse function using this domain
- Check that it is indeed the inverse function by verifying the identity y−1(y(x)) =y(y−1(x)) = x
- Show lim
_{x→3}x^{2}−3x+1 = 1 using the definition of limit, that is, using ε and δ.

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Math

Calculus

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