Question

Jika diketahui h(x)= ax + b, h(-1)=-5, dan h(2)=4, maka tentukan:
A. Rumus h(x)
B. Nilai dari h(x+1)
C. Nilai dari h(x^2)

Answer 1

H(x) = ax + b
h(-1) = a(-1) +b = 5
-a + b = 5...(1)
h(2) = a(2) +b = 4
2a + b = 4...(2)

-a + b = 5
2a+ b = 4
________ -
-3a = 1
a = -1/3

-a + b = 5
1/3 +b = 5
b = 5 - 1/3
b = 14/3

a) rumus fungsi
h(x) = -1/3x + 14/3
b) h(x +1) = -1/3(x+1) + 14/3
= -1/3x -1/3 + 14/3
= -1/3x + 13/3
c) h(x^2) = -1/3(x^2) + 14/3
= -1/3x^2 + 14/3

semoga membantu :)