Diketahui fungsi f(x) = ax + b. Jika f(-4) = 6 dan f(6) = -4, maka tentukan :

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a. Nilai a dan b!
b. Nilai f(2) !

d jwb kk..

Diketahui fungsi f(x) = ax + b. Jika f(-4) = 6 dan f(6) = -4, maka tentukan :

Jawaban Terkonfirmasi

Mapel : Matematika
Bab : Fungsi

f(x) = ax + b
f(-4) = -4a + b = 6
f(6)  = 6a + b = -4
————————  -
             -10a = 10
                  a = 10/-10
                  a = -1

    6a + b = -4
6(-1) + b = -4
    -6 + b = -4
           b = -4 + 6
           b = 2

f(x) = ax + b
f(2) = -2(2) + 2
f(2) = -2 + 2
f(2) = 0

Jawaban Terkonfirmasi

A.
f(-4) = a(-4) + b f(6) = a(6) + b
*6 = -4a + b *-4 = 6a + b

(6 = -4a)-(-4 = 6a) = (10 = -10a)
a = -1

*6 = -4a + b
6 = -4(-1) + b
6 = 4 + b
2 = b

f(2) = ax + b
f(2) = (-1)(2) + (2)
f(2) = -2 + 2
f(2) = 0