![If alpha and beta are the zeroes of quadratic polynomial f(x) = x^2 - p(x + 1) - c , show that ( alpha+ 1 ) ( beta+ 1 ) = 1 - c If alpha and beta are the zeroes of quadratic polynomial f(x) = x^2 - p(x + 1) - c , show that ( alpha+ 1 ) ( beta+ 1 ) = 1 - c](https://haygot.s3.amazonaws.com/questions/1053177_1023845_ans_a7a52776ce4b473e8566f9d91b7d185d.jpg)
If alpha and beta are the zeroes of quadratic polynomial f(x) = x^2 - p(x + 1) - c , show that ( alpha+ 1 ) ( beta+ 1 ) = 1 - c
![Let f = {(1, 1), (2, 3), (0, - 1), ( - 1, - 3)} be a function from Z to Z defined by f(x) = ax + b for some integers a, b . Determine a, b . Let f = {(1, 1), (2, 3), (0, - 1), ( - 1, - 3)} be a function from Z to Z defined by f(x) = ax + b for some integers a, b . Determine a, b .](https://i.ytimg.com/vi/bHJtjHukUaI/maxresdefault.jpg)
Let f = {(1, 1), (2, 3), (0, - 1), ( - 1, - 3)} be a function from Z to Z defined by f(x) = ax + b for some integers a, b . Determine a, b .
![How possible for function to be $A \subset f^{-1} \left( f(A) \right) \forall f$? - Mathematics Stack Exchange How possible for function to be $A \subset f^{-1} \left( f(A) \right) \forall f$? - Mathematics Stack Exchange](https://i.stack.imgur.com/llxPc.jpg)