Matematika . hasil operasi aljabar (f - g) (x) untuk f(x) = [tex] \frac{4x}{x - 1} [/tex] ; x ≠ 1 dan g(x) = 3x - 2 adalah...?

jawab


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

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

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

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

=  (-3x² + 9x  - 2)/ (x - 1)