Matematika Sekolah Menengah Pertama 3. Diketahui fungsi g:x ax + b. Jika g(2) = 12 dan g(-3) = -13, tentukanlah:

a. Rumus fungsi g !
b. Hasil dari g(8) - g(-2)
c. Nilai x, jika g(x) =22

menggunakan cara​

3. Diketahui fungsi g:x ax + b. Jika g(2) = 12 dan g(-3) = -13, tentukanlah:

a. Rumus fungsi g !
b. Hasil dari g(8) - g(-2)
c. Nilai x, jika g(x) =22

menggunakan cara​

Penjelasan dengan langkah-langkah:

g(x) = ax + b

g(2) = a(2) + b

= 2a + b = 12

g(-3) = a(-3) + b

= -3a + b = -13

2a + b = 12

-3a + b = -13

___________ -

5a + 0 = 25

5a = 25

a = 25/5

= 5

2a + b = 12

2(5) + b = 12

10 + b = 12

b = 12-10

b = 2

a. rumus fungsi

= g(x) = ax + b

g(x) = 5x + 2

b. Hasil dari g(8) - g(-2)

= g(x) = 5x + 2

g(8) = 5(8) + 2

= 40+2

= 42

= 9(-2) = 5x + 2

= 5(-2) + 2

= -10 +2

= -8

= g(8) - g(-2)

= 42-(-8) = 50

c. nilai x, jika g(x) = 22

= g(x) = 5x + 2

= 5x + 2 = 22

= 5x = 22-2

= 5x = 20

= x = 20/5

= x = 4

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