Question

Jawaban lengkap dengan cara yah...​

Answer 1

Jawaban:

x²-3x+1

Penjelasan dengan langkah-langkah:

g(2x-1)= 4x²-10x+5

y= 2x-1

y+1= 2x

x= (y+1)/2

g(y)= 4((y+1)/2))²-10((y+1)/2))+5

g(y)= (y+1)²-5(y+1)+5

g(y)= y²+2y+1-5y-5+5

g(y)= y²-3y+1

g(x)= x²-3x+1

Answer 2

Penjelasan dengan langkah-langkah:

FUNGSI KOMPOSISI

f(x) = 2x – 1

(g o f)(x) = 4x² – 10x + 5

g(f(x)) = 4x² – 10x + 5

g(2x – 1) = 4x² – 10x + 5

g(f-¹(x))= 4(x + 1)² – 10(x + 1) + 5

2 2

g(x) = 4(x² + 2x + 1) – 5x – 5 + 5

4

g(x) = x² + 2x + 1 – 5x

g(x) = x² – 3x + 1 ✔

catatan :

f(x) = 2x – 1

2x = f(x) + 1

x = f(x) + 1

2

f-¹(x) = x + 1

2