## Question 7: Given the function f(x). The graph y=f'(x) is given as shown below. The function (g(x)=f(x-1)-frac{x^{2}}{2}) is inverse in which of the following ranges?

Question 7: Given the function f(x). The graph y=f'(x) is given as shown below. The function (g(x)=f(x-1)-frac{x^{2}}{2}) is inverse in which of the following ranges? A. (1 ; 3) B. (-2 ; 1) C. (2 ; 4) D. (0 ; 1) (begin{array}{l} text { We have: } g(x)=f(x-1)-frac{x^{2}}{2} Rightarrow g^{prime}( x)=f^{prime}(x-1)-x Rightarrow g^{prime}(x)=0 Leftrightarrow … …