R => R , dan h:
R => R dengan f(x) = X-1, g(x) = 5-2x, dan
h(x) = x + 3x – 2. Tentukan x jika:
a. (f o h o g)(x) = 15
b. (h o f o g)(x) = 8
Diketahui fungsi f: R → R, g:
Jawaban:
a. 17 – 8x
b. 14 – 8x
Penjelasan dengan langkah-langkah:
a) (fohog)(x) = f (h (g(x)))
= f (h (5 – 2x))
= f ((5 – 2x) + 3(5 – 2x) – 2)
= f (3 – 2x + 15 – 6x)
= f (18 – 8x)
= (18 – 8x) – 1
= 17 – 8x
b. (hofog)(x) = h (f (g(x)))
= h (f (5 – 2x))
= h ((5 – 2x) – 1)
= h (4 – 2x)
= (4 – 2x) + 3(4 – 2x) – 2
= 2 – 2x + 12 – 6x
= 14 – 8x