f (x)=3x-1 g (x)=4x^-x+1 tentukan a. fog (x) b. fog (-1) c. gof (x) d. gof (2)

Matematika
fungsi komposisi

menentukan hasil
a. fog (x)
= f(g(x))
= f(4x² - x + 1)
= 3(4x² - x + 1) - 1
= 12x² - 3x + 3 - 1
= 12x² - 3x + 2

b. fog (-1)
= f(g(-1))
= 12(-1)² - 3(-1) + 2
= 12 + 3 + 2
= 17

c. gof (x)
= g(f(x))
= g(3x - 1)
= 4(3x - 1)² - (3x - 1) + 1
= 4(9x² - 6x + 1) - 3x + 1 + 1
= 36x² - 24x + 4 - 3x + 1 + 1
= 36x² - 27x + 6

d. gof (2)
= g(f(2))
= 36(2)² - 27(2) + 6
= 36(4) - 54 + 6
= 144 - 54 + 6
= 96