jika g(x)=2x-5 dan (f o g)(x)=6x-13 maka f(3) adalah mohon bantuannya,,,terimakasih

(f o g)(x) = f(g(x))
f(2x - 5) = 6x - 13

Permisalan :
2x - 5 = a .... (1)
2x = a + 5
x = (a + 5) /2 .. (2)

Maka
f(a) = 6 ( (a + 5)/2 ) - 13
f(a) = 3(a + 5) - 13
f(a) = 3a + 15 - 13
f(a) = 3a + 2

Dit. f(3)
= 3(3) + 2
= 9 + 2
= 11

f(g(x)) = 6x-13
f(2x-5)= 6x-13

2x-5 dimisalkan a
2x-5 = a
2x = a+5
x = (a+5)/2

f(a) = 6(a+5)/2 - 13
f(a) = 3a+15-13
f(a) = 3a+2
f(x) = 3x+2
f(3) = 3(3)+2
f(3) = 9+2
f(3) = 11