Need asap ! I need all shown work ! Preferably on a piece of notebook paper! Thank you !!

1. Let f be the piecewise defined function consisting of three linear segments shown gure above. The function g is defined by g(x) _ * -8x+3 x+5 (A) () The function / is defined by h(x) = (g . f)(x) - g(f (x)). Find the value of / (-3) as a decimal approximation, or indicate that it is not defined. (ii) Find the value of for which f-(-4), or indicate that it is not defined. (B) (i) Find all zeros of g (x), as decimal approximations, or indicate that there are no such values. (ii) Determine the end behavior of g as x decreases without bound. Express your answer using the mathematical notation of a limit. (C) (i) Determine if an inverse function of f can be constructed for all values in the domain of f (ii) Give a reason for your answer based on the definition of a function and the graph of S