Question

If f={(5,2), (6,3)} and g={(2,5), (3,6)} write fog

Answer 1

◀HERE'S ⏬ YOUR ANSWER▶

f = {(5,2), (6,3)} and g = {(2,5), (3,6)}

(fog)(x) = f(g(x))

f(g(2)) = f(5) = 2, (2,2) ∈ fog
f(g(3)) = f(6) = 3, (3,3) ∈ fog

So, fog = {(2,2), (3,3)}.

⏏HOPE THIS ⬆ HELPS YOU⏏

Answer 2

Answer:

The function fog is $f\circ g=\{(2,2),(3,3)\}$.

Step-by-step explanation:

It is given that f={(5,2), (6,3)} and g={(2,5), (3,6)}.

$f\circ g(x)=f(g(x))$

The domain of g(x) is 2 and 3.

At x=2,

$f\circ g(2)=f(g(2))=f(5)=2$

The value of fog is 2 at x=2.

At x=3,

$f\circ g(3)=f(g(3))=f(6)=3$

The value of fog is 3 at x=3.

The function fog is

$f\circ g=\{(2,2),(3,3)\}$

Therefore the function fog is $f\circ g=\{(2,2),(3,3)\}$.