Question

Iff = {(1, 2), (2, 3), (3, 4)}. g = {(2,5), (3,6), (4,7)} then gof(2)
1) 5
2) 7
3) 6
4) 2​

Answer 1

Answer:

6

Step-by-step explanation:

gof(x)  = g(f(x))

 So, here, for x = 2.

⇒ g(f(2))

  In the given set, when x(which we say domain) is 2,  range is 3,  check in relation (2, 3).  So,   f(2) = 3

⇒ g(3)

    In g,  when domain is 3, range is 6,  in relation (3, 6).  So,   g(3) = 6

 Hence,

⇒ gof(2) = 6

Answer 2

gof(2) = ?

We know that ,

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

we can say that , x is domain and f(x) & g(x) is range .

⇒ gof(2)

⇒ g(f(2))

when , x = 2 , f(2) = 3

⇒ g(3)

⇒ 6

So , gof(2) = 6

Cheers :)