Question

if f:[0,3] → [0,3] is defined by f(x)={1+x,0≤x≤2 and {3-x,2<x≤3 then show that f[0,3] subset or equal to [0,3] and find fof​

Answer 1

Answer:

Case 1 : f(x)={1+x,0≤x≤2}

Let x =0, f(x)=1

Let x = 1,. f(x)=2

Let x=2,. f(x)=3

Case 2 : f(x) = {3-x,2<x≤3}

Let x=3, f(x)= 0

Step-by-step explanation:

Hence proved