Question

Matematika kelas 10. diket rumus komposisi fs dan fungsi pertama

1. (fog) (x) = 2x^2 - 2x + 7
f (x) = 2x + 1
g (x) = ?

2. (fog) (x) = 3x - 5
g (x) = x-1
f(x) = ?

Answer 1

(fog)(x)=f(g(x))
2(g(x))+1=2x²-2x+7
2(g(x))=2x²-2x+6
g(x)=x²-x+3

(fog)(x)=f(g(x))
f(x-1)=3x-5
misalkan p=2x-1 x=(p+1)/2
f(x)=3[(p+1)/2]-5
= (3p+3)/2 - 5
f(x)= (3x+3)/2 - 5