1. Ditentukan fungsi f(x) = 1/(x – 2) a. f(4) = 1/(4 – 2) = 1/2 b. f(-2) = 1/(-2 – 2) = 1/(-4) = -1/4
2. Diketahui fungsi g: x → 3x – 1 pada himpunan bilangan bulat. a. g(x) = 3x – 1 ↔ 14 = 3x – 1 ↔ 3x = 14 + 1 ↔ x = 15/3 = 5 b. g(a) = 3a – 1 ↔ -10 = 3a – 1 ↔ 3a = -10 + 1 ↔ a = -9/3 = -3
3. Diberikan g: x → x² + 2, dengan D = {x | -4 < x ≤ 2, x ∈ Bilangan bulat}
a. Rumus fungsi g adalah g(x) = x² + 2 b. Dg = {-3, -2, -1, 0, 1, 2}
c. Dg / x Rg / f(x) = x² + 2 -3 11 -2 6 -1 3 0 2 1 3 2 6 Rg = { 2, 3, 6, 11}
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1. Ditentukan fungsi f(x) = 1/(x – 2)
a. f(4) = 1/(4 – 2) = 1/2
b. f(-2) = 1/(-2 – 2) = 1/(-4) = -1/4
2. Diketahui fungsi g: x → 3x – 1 pada himpunan bilangan bulat.
a. g(x) = 3x – 1
↔ 14 = 3x – 1
↔ 3x = 14 + 1
↔ x = 15/3 = 5
b. g(a) = 3a – 1
↔ -10 = 3a – 1
↔ 3a = -10 + 1
↔ a = -9/3 = -3
3. Diberikan g: x → x² + 2, dengan D = {x | -4 < x ≤ 2, x ∈ Bilangan bulat}
a. Rumus fungsi g adalah g(x) = x² + 2
b. Dg = {-3, -2, -1, 0, 1, 2}
c. Dg / x Rg / f(x) = x² + 2
-3 11
-2 6
-1 3
0 2
1 3
2 6
Rg = { 2, 3, 6, 11}