Question

MATERI MATEMATIKA SMK dan beri PENJELASANNYA YA​

Answer 1

Verified answer

Jawab:

fungsi komposisi

gof (x) =  g { f(x) }

Penjelasan dengan langkah-langkah:

g(x) = 4x² + 6x - 3

misal f(x) = ax+ b

gof(x) = x² +7x + 7

g{ax+ b } = x² +7x + 7

4 (ax+ b)² +6 (ax + b) - 3 = x² + 7x  + 7

4 (a² x² + 2  ab x + b²) + 6 ax + 6b - 3 = x² +7x + 7

4a² x² + 8 ab x + 4b² + 6a x + 6 b - 3 = x² +7x + 7

4a² x² + (8ab + 6a) x + (4v² +6b -3) = x² +7x + 7

4a² = 1 --> a²= 1/4 --> a= 1/2

8 ab + 6a = 7

8(1/2) b + 6(1/2) = 7

4b + 3 = 7

4b = 4

b = 1

f(x)= ax + b = 1/2 x + 1

f(2a - 4) = 1/2 (2a- 4) + 1

f(2a- 4) = a - 2 + 1

f(2a - 4) = a - 1