F(x)=3x+5 G(x)=x-2 4(x)=x²+5x-3 Tentukan 1.fogoh(x) 2.goh(x) 3.hogof(x) 4.(fog)-¹(x) 5.(Goh)-¹(x)

f1.
(fogoh)(x) = 3((x²+5x-3) - 2) + 5
(fogoh)(x) = 3(x² + 5x - 5)+5
(fogoh)(x) = 3x² + 15x - 15 + 5
(fogoh)(x) = 3x² + 15x - 10

2.
(goh)(x) = (x² + 5x - 3) - 2
(goh)(x) = x²+ 5x - 5

3.
(hogof)(x) = ((3x+5) - 2)² + 5(3x + 5 - 2) - 3
(hogof)(x) = (3x+3)² + 15x + 15 - 3
(hogof)(x) = 9x² + 18x + 9 + 15x + 12
(hogof)(x) = 9x² + 33x + 21

4.
(fog)(x) = 3(x-2) + 5
(fog)(x) = 3x - 1
y = 3x -1
3x = y + 1
x = (y+1)/3
(fog)^-1(x) = (x+1)/3