Question

let f={(1,4),(2,5),(3,5)} g={(4,1),(5,2),(6,4)} find gof

Answer 1

Step-by-step explanation:

g0f(x) = g(f(x)).  

     When x = 1,  f(1) = 4

⇒ g(f(1)) = g(4) = 1.

     When x = 2,   f(2) = 5

⇒ g(f(2)) = g(5) = 2

    When x = 3,    f(3) = 5

⇒ g(f(3)) = g(5) = 2

Answer 2

f = { (1,4) , (2,5) , (3,5) }

g = { (4,1) , (5,2) , (6,4) }

gof(x) = g(f(x))

when , x = 1 , f(1) = 4

⇒ g(4) = 1

when , x = 2 , f(2) = 5

⇒ g(5) = 2

when , x = 3 , f(3) = 5

⇒ g(5) = 2