f(×)=a×b+b jika f(2)=5 dan f(-1)=-1 maka tentukan
1 nilai a
2 nilai b
3 rumus fungsi
4 f(3)![]()
1 nilai a
2 nilai b
3 rumus fungsi
4 f(3)
Jawaban:
Penyelesaian :
f(x) = ax + b jika f(2) = 5 dan f(-1) = -1 maka tentukan
- 1 nilai a
- 2 nilai b
- 3 rumus fungsi
- 4 f(3)
1. Mencari nilai a
f(x) = ax + b
f(2) = a(2) + b = 5
2a + b = 5
f(-1) = a(-1) + b = -1
-a + b = -1
2a + b = 5
-a + b = -1 -
3a = 6
a = 6/3
a = 2
2. Mencari nilai b
Substitusi nilai a ke pers (1)
2a + b = 5
2(2) + b = 5
4 + b = 5
b = 5 - 4
b = 1
3. Rumus fungsi
f(x) = ax + b
f(x) = 2x + 1
4. Mencari f(3)
f(x) = ax + b
f(x) = 2x + 1
f(3) = 2(3) + 1
f(3) = 6 + 1
f(3) = 7
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