Diketahui fungsi f(2) = ax + b.Jika f(2) = – 2 dan f(3) = 13

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tentukan ;
a. nilai a dan b
b. persamaan fungsi tersebut​

Diketahui fungsi f(2) = ax + b.Jika f(2) = – 2 dan f(3) = 13

Materi : Fungsi dan Relasi

f(x) = ax + b

{ f(2) = -2 } => 2a + b = -2

{ f(3) = 13 } => 3a + b = 13

__________________/

Eliminasi ( b )

2a – 3a = – 2 – 13

– a = – 15

a = 15

()()()()()

b = – 2a – 2

b = – 2( 15 ) – 2

b = – 30 – 2

b = – 32

____________/

Result : a = 15 dan b = – 32

Fungsinya : f(x) = 15x – 32

Semoga bisa membantu

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Penjelasan dengan langkah-langkah:

a)

f(2) = 2a + b = – 2

f(3) = 3a + b = 13

_____________ –

a = 15

2(15) + b = – 2

b = – 2 – 30

b = – 32

b) f(x) = 15x – 32