1.diketahui f(x)=4x+3 dan g(x)=x2+1. Jika h(x-1)=f(x) +g(x) maka h(x)=…? 2.diketahui f(x)=4x-5,g(x)=3x+2,dan (fog)(k) = -21 maka nilai k=...? 3.ditentukan (fog)

1) h(x - 1) = f(x) + g(x)
h(x - 1) = (4x + 3) + (x^2 + 1)
h(x - 1) = x^2 + 4x + 4
h(x - 1) = (x + 2)^2 ............................. x + 2 = x - 1 + 3 = (x - 1) + 3
h(x - 1) = ((x - 1) + 3)^2
h(x) = (x + 3)^2

h(x) = x^2 + 6x + 9

2) (f o g)(k) = -21
f(g(k)) = -21
4g(k) - 5 = -21
4g(k) = -16
g(k) = -4
3k + 2 = -4
3k = -6
k = -2

3) (f o g)(x) = (g o f)(x)
f(g(x)) = g(f(x))
5g(x) - p = 2f(x) + 15
5(2x + 15) - p = 2(5x - p) + 15
10x + 75 - p = 10x - 2p + 15
-p + 2p = 15 - 75
p = - 60