diketahui fungsi f(x) = 4x - 1 dan (f o g)(x) = 2x² - x+3. tentukan fungsi g(x)

jawaqb

f(x)= 4x - 1
fog(x) = 2x² - x + 3
f (g(x)) = 2x² - x + 3

f(4x - 1) = 2x² - x + 3

f(x ) = 2 (1/4 x +1)² - (1/4x  -1) + 3

f(x ) = 2 (1/16 x² + 1/2 x  +1) - 1/4 x + 1 + 3

f(x) = 1/8 x² + x + 2  - 1/4 x + 4

f(x) = 1/8 x² + 3/4x  + 6