Question

jika f(2) = 4 dan f(5) = 13 dan rumus f(x) = ax + b. maka tentukan :
a. Nilai a
b. Nilai b
c. Rumus f(x)​

Answer 1

Penjelasan dengan langkah-langkah:

f(2) ,= 4

f(5) = 13

f(x) = ax +b

f(2) = a(2) + b = 4

f(5) = a(5) + b = 15

2a + b = 4

5a + b = 15. -

-3a = -11

a = -11/-3

a = 3,7

2(3,7) + b = 4

7,4 + b = 4

b = 4 - 7,4

b = -3,4

rumus f(x) = 3,7x - 3,4

Answer 2

Verified answer

Penjelasan dengan langkah-langkah:

f(2) = 4

f(5) = 13

f(x) = ax + b

f(x) = ax + b

f(2) = 2a + b

4 = 2a + b

f(x) = ax + b

f(5) = 5a + b

13 = 5a + b

a. nilai a

2a + b = 4

5a + b = 13

_________ _

-3a = -9

a = 3

b. nilai b

2a + b = 4

2(3) + b = 4

b = 4 - 6

b = -2

c. fungsi f(x)

f(x) = ax + b

f(x) = 3x - 2