diketahui g(x)=2x+1 dan fog(x)=6x²+2x-13. tentukan f(x)

jawab

g(x) = 2x - 1
g⁻¹(x) = (x + 1)/2
f(x) = (fog)o g⁻¹ (x)

f(x) =  6{(x - 1)/2}² + 2{ (x -1)/2 } - 13
f(x)= 6/4 (x -1)² + (x - 1)    - 13
f(x)= 6/4 (x² - 2x + 1) + x - 1 - 13
f(x) = 6/4 x² - 3x  + 6/4 + x - 14
f(x) = 3/2 x² - 2x  - 25/2
f(x) = 1/2 ( 3x² - 4x  - 25)