diketahui g(x-2) = 2x+7 dan (h○g)(x) = 4x+44x+1. nilai h(10) = ... a. -20 b. -18 c. -15 d. -10 e. -5
Matematika
AzizahSyafrin11
Pertanyaan
diketahui g(x-2) = 2x+7 dan (h○g)(x) = 4x+44x+1. nilai h(10) = ...
a. -20
b. -18
c. -15
d. -10
e. -5
a. -20
b. -18
c. -15
d. -10
e. -5
1 Jawaban
-
1. Jawaban dharmawan13
g(x-2) = 2x +7
g (x-2) = 2(x -2) +11
g(x) = 2x +11+
(hog)(x) = 4x^2 + 44x + 1
h {g (x) } = 4x^2 +44x +1
h (2x +11) = 4x^2 +44x +1
h (2x+11) = (2x+11)^2-121+1
h (2x+11) = (2x+11)^2 -120
h(x) = x^2 -120
h (10) = 10^2 -120
= 100 - 120
= -20