Diketahui f(x) = (2x+5)2 dan g(x) = -5x+2 : a) (fog)(x); b) (fog)(-2);(gof)(x); d) (gof)(1)
Dik : f (x) = (2x+5)2 => (4x+10)
g(x) = -5x + 2
Dit : a. (fog) (x) = ?
b. (fog) (-2) = ?
c. (gof) (x) = ?
d. (gof) (1) =?
Peny :
a. (fog) (x)
= f (-5x+2)
=4 (-5x+2)+10
=-20x + 8 + 10
=-20x + 18
b. (fog) (-2)
=> (fog) (x) = -20x + 18
=> (fog) (-2) = -20 (-2) +18
= 40+18 = 58
c. (gof) (x)
= g ( 4x+10)
= -5 (4x+10) + 2
= -20x – 50 + 2
= -20x – 48
d. (gof) (1) = -20 (1) – 48 = -20-48 = -68