i fg4 ii gf4 iii ff4 iv gg4 Solutionfg4 g4 is 2 f2 3 S

(i) f(g(4)) = (ii) g(f(4)) = (iii) f(f(4)) = (iv) g(g(4)) =

Solution

f(g(4)) :
g(4) is 2
f(2) = 3

So, 3

----------------------------------------------------------

g(f(4)) :

f(4) = 1

g(1) = 4

4

----------------------------------------------------------

f(f(4)) :

f(4) = 1 form table

f(1) comes out 5

5

-----------------------------------------------------------

g(g(4)) :

g(4) = 2

And g(g(4)) g(2) comes out to 2

2

 (i) f(g(4)) = (ii) g(f(4)) = (iii) f(f(4)) = (iv) g(g(4)) = Solutionf(g(4)) : g(4) is 2 f(2) = 3 So, 3 --------------------------------------------------------

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