Diketahui g(x) = x + 2, (fog)(x) = x² - 4x - 5, dan h(x) = 3x + 1. Tentukan (gofoh)^-1(1)
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
→ fungsi komposisi ←
Hy Millieth..
Soal ginian sukaan Kakakku #DB :)
f(g(x)) = x² - 4x - 5
f(x + 2) = (x + 2)² - 8(x + 2) + 7
f(x) = x² - 8x + 7
(gofoh)(x)
= g((3x + 1)² - 8(3x + 1) + 7)
= g(9x² - 18x)
= 9x² - 18x + 2
y = 9x² - 18x + 2 = (3x - 3)² - 7
3x - 3 = ± √(y + 7)
x = (3 ± √(y + 7))/3
(gofoh)^-1 (1)
= (3 ± √(1 + 7))/3
= (3 ± 2√2)/3