Q. f={(x+a if x<0), (x-11 if x>=0) g(x...

Q. f={`(x+a if x<0)`, `(x-11 if x>=0)` `g(x)={(x+1 if x<0),(x-1)^2 if x<0)` where a and b are non-negative real numbers. Determine the composite function `gof`. If `(gof)(x)` is continuous for all real x, determine the values of a and b, Further for these values of a and b, is `gof` differentiable at x=0? Justify your answer.

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