Let f(x)=|x|+1 and g(x)=[x]-1 , where [.] is the greatest integer function. Let h(x)= f(x) g(x) What is _ x 0- h(x)+ _ x 0+ h(x) equal to?

Step-by-step solution

and aligned f(x) & =|x|+1 g(x) & =[x]-1 h(x) & = f(x) g(x) = |x|+1 [x]-1 aligned _ x 0 h(x)+ _ x 0⁺ h(x)= _ x 0⁻ |x|+1 [x]-1 array ll = _ x 0⁻ |x|+1 [x]-1 & = 0+1 -1-1 + 0+1 0-1 & array l [0-h]=-1 [0+h]=0 array = 1 2 -1=- 3 2 & array