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) = ax2 + bx + c. The function y(x) is not invertible, however, like the function f(x) = x2 we can make some restrictions on its domain to make it invertible. Hint: Think of the example (x2) given above.Find the largest possible domain where y(x) is invertibleFind its inverse function using this domainCheck that it is indeed the inverse function by verifying the identity y−1(y(x)) =y(y−1(x)) = xShow limx→3 x2 −3x+1 = 1 using the definition of limit, that is, using ε and δ. |২ -3x+] -| <६|x-১y| <४.7|९६-X) x {|x || x-5| <११-XlxLlx-31 C1x-31६clx-312|x-३|८-Cकैहहा

Answered: |২ -3x+] -| <६ |x-১y| < ४. 7|९६-X) x {…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter6: Fractions

Section6.1: Simplifying Fractions

Problem 31WE

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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) = ax² + bx + c. The function y(x) is not invertible, however, like the function f(x) = x² we can make some restrictions on its domain to make it invertible. Hint: Think of the example (x²) 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 x² −3x+1 = 1 using the definition of limit, that is, using ε and δ.