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Sagot :

Answer:

 h(x) =  -x² + 11 x + 2

Step-by-step explanation:

Explanation:-

Given that the functions are  

                                            f(x) = 2 x² - 5x -3

                                            g(x) = x² + 6x -1

               h(x)  = g(x) - f(x)

                      = x² + 6x -1 - (2 x² - 5x -3)

                     = - x² + 6 x +5x -1+3

                    = -x² + 11 x + 2

            h(x) =  -x² + 11 x + 2

Final answer:-

h(x) =  -x² + 11 x + 2