Matematika Sekolah Menengah Pertama Sebuah Bentuk Fungsi Rumus f(x) = ax + b, jika f(-3) = -16 dan f(5) = 32, Tentukan nilai f(7) !​

maddisongleichnerulv – May 12, 2023

Sebuah Bentuk Fungsi Rumus f(x) = ax + b, jika f(-3) = -16 dan f(5) = 32, Tentukan nilai f(7) !​

Penyelesaian:

f(x)=ax+b

f(-3)=-3a+b=-16

f(5)=5a+b=32

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

-3a+b=-16

5a+b=32

-8a=-48

a=6

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

f(5)=32

32=6(5)+b

32=30+b

b=2

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

f(7)=6x+2

f(7)=6(7)+2

f(7)=42+2

f(7)=44

[tex] \boxed{ \colorbox{black}{ \sf{ \color{lightgreen}{ answered\:by\:Duone}}}} [/tex]

f(x) = ax + b

f ( - 3 ) = -3 ( a)x + b = -16

f ( -3 ) = -3ax + b = -16

f ( 5 ) = 5 ( a)x + b = 32

f ( 5 ) = 5ax + b = 32

______________

-3ax + b = -16

5ax + b = 32

___________-

-8a + 0 = -48

-8a = -48

a = -48 ÷ -8

a = 6

______________

F ( 5 ) = 32

32 = ax + b

32 = 6(5) + b

32 = 30 + b

32 - 30 = b

2 = b

b = 2

______________

f ( 7 ) = ax + b

f ( 7 ) = 6 ( 7 ) + 2

f ( 7 ) = 42 + 2

f ( 7 ) = 44

[tex]\purple{\boxed{\green{\boxed{\red{\tt{\ \: \red{{ ༻ シ︎XxDAЯКNESSxXツ ༺ }}}}}}}}[/tex]

[answer.2.content]