Question

let f = { (-1 , 3 ) , (0 ,-1 ) , (2 ,9) } be a linear function from Z into Z . find f(x)​

Answer 1

Answer:

The required function is

f(x)= -4x-1 = -(4x+1)

Step-by-step explanation:

Given:

f = { (-1, 3), (0 ,-1), (2,-9) }

Let the linear function be

f(x)=ax+b

f(-1)=3

⇒ a(-1)+b=3

⇒ -a+b=3...................(1)

f(0)= -1

⇒ a(0)+b= -1

⇒ b= -1

put b=-1 in (1), we get

-a+(-1)=3

-a=4

a= -4

The required function is

f(x)= -4x-1

f(x)= -(4x+1)

Answer 2

Answer:

The answer is f(x) =-4x-1

Step-by-step explanation:

hope it helped