Question

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

Answer 1

Step-by-step explanation:

The required function is

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

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)

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Answer 2

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