dik gx = 2x+1 dan fog (x)= 8x²+2x+11 rumus fx adlh

jawab

g(x)  = 2x + 1
y = 2x + 1
2x = y - 1
x = 1/2 (y - 1)
g⁻¹ (x) = 1/2  (x - 1)

fog(x) = 8x² +2x + 11

f(x) = (fog)og⁻¹ (x)
f(x) = fog {g⁻¹}
f(x) = 8{ 1/2 (x - 1)}² + 2 { 1/2 ( x -1)} + 11
f(x) = 8 (1/4 (x-1)² + (x -1) + 11
f(x) = 2(x -1)² + (x - 1) + 11
f(x)= 2(x² - 2x + 1) + x - 1 + 11
f(x)= 2x² - 4x + 2 + x -10
f(x)= 2x² - 3x - 8