Let f(x) be the greatest integer function and g(x) be the modulus function. What is (f f) (- 9 5 )+(g g)(-2) equal to?

Step-by-step solution

f(x) greatest integer function f(x)=[x]g(x) modulus function g(x)=|x| aligned & f f(x)=f(f(x))=f([x]) & f f (- 9 5 )=f(-2) [- 9 5 ]=-2 aligned =[-2]=-2 gog (x)=g(|x|)= |x |=|x| aligned & gog (-2)=|-2|=2 & (f f) (- 9 5 )+ gog (-2)=-2+2=0 aligned