let g(x)=1+x-[x] and f(x)={-1, x o 0, x=0 1, x 0 } find fog - Maths - Relations and Functions

Question

let g(x)=1+x-[x] and f(x)={-1, x<o 0, x=0 1, x>0 } find fog

Lovina Kansal · Accepted Answer

Dear student
When , -1<x<0Then, g(x)=1+x-x=1+x-(-1)=2+x∴fgx=1When x=0Then g(x)=1+x-x=1+x-0=1+x∴fgx=1When, x>1Then, g(x)=1+x-x=1+x-1=x∴fgx=1Therefore, for each interval fgx=1
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