Matematika Sekolah Menengah Atas 1. Fungsi f ditentukan olehf(x) = ax + b. Jikaf(5) = 12dan f(-3) = -4, maka nilai f(-2)+ f(2) adalah....a. - 6b. - 4.d. 6C. 4​

sigridwuckertulv – March 21, 2023

1. Fungsi f ditentukan olehf(x) = ax + b. Jikaf(5) = 12
dan f(-3) = -4, maka nilai f(-2)+ f(2) adalah....
a. - 6
b. - 4.
d. 6
C. 4​

Fungsi

f(5) = 12 → 5a + b

f(-3) = -4 → -3a + b

Metode Eliminasi

5a + b = 12

-3a + b = -4

--------------------------- -

8a = 16

a = 16/8

a = 2

Metode Subtitusi

5a + b = 12

5(2) + b = 12

10 + b = 12

b = 12 - 10

b = 2

Rumus fungsi f(x) = 2x + 2

• Nilai f(-2) + f(2)

= (2(-2) + 2) + 2(2) + 2)

= (-4 + 2) (4 + 2)

= -2 + 6

= 4 (C)

Jawaban:

f(x) = ax + b

f(5) = 5a + b = 12

f(-3) = -3a + b = -4

-------------------------- -

5a + 3a = 12 + 4

8a = 16

a = 2

5a + b = 12

5(2) + b = 12

10 + b = 12

b = 12 - 10

b = 2

f(x) = 2x + 2

f(-2) = 2(-2) + 2

f(-2) = -4 + 2

f(-2) = -2

f(2) = 2(2) + 2

f(2) = 4 + 2

f(2) = 6

f(-2) + f(2)

= -2 + 6

= 4 (D)

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