diketahui (fog)(x)=4^2-22x+26 dan g(x)=2x-3.fungsi f(2)=
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Pertanyaan
diketahui (fog)(x)=4^2-22x+26 dan g(x)=2x-3.fungsi f(2)=
1 Jawaban
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1. Jawaban PersatuanWibu
cara 1
invers dari g(x) = 2x - 3 adalah y = 2x - 3
y + 3 = 2x
x = 1/2(y + 3) ----> 1/2(x + 3)
f(x) = 4(1/2(x + 3))² - 22 (1/2(x + 3) + 26
= 4(1/4 (x² + 6x + 9) - 11x - 33 + 26
= x² - 5x + 2
f(2) = 2² - 5(2) + 2
= - 4
cara 2
g(x) = 2
2x - 3 = 2
2x = 2 + 3
x = 5/2
(fog)(x) = 4x² - 22x + 26
= 4 (5/2)² - 22(5/2) + 26
= 25 - 55 + 26
= - 4