diketahui f(x)=x-2,g(x)=x²+3x-7 dan h(x)=5x+6. tentukan p jika (g°f)(p)= (h°g)(p). mohon bantuan.nya

Kelas 10 Matematika
Bab Fungsi Komposisi

(gof) (p) = (hog) (x)
g (p - 2) = h (p² + 3p - 7)
(p - 2)² + 3 (p - 2) - 7 = 5(p² + 3p - 7) + 6
p² - 4p + 4 + 3p - 6 - 7 = 5p² + 15p - 35 + 6
p² - 5p² - p - 15p - 9 + 29 = 0
-4p² - 16p + 20 = 0
p² + 4p - 5 = 0
(p + 5) (p - 1) = 0
p + 5 = 0
p = -5

p - 1 = 0
p = 1