Respuesta :

Given:

The given function is

[tex]f(x)=112-kx[/tex]

[tex]f(-3)=121[/tex]

To find:

The value of k.

Solution:

We have,

[tex]f(x)=112-kx[/tex]

Putting x=-3, we get

[tex]f(-3)=112-k(-3)[/tex]

[tex]121=112+3k[/tex]                   [tex][\because f(-3)=121][/tex]

Subtract both sides by 112.

[tex]121-112=3k[/tex]

[tex]9=3k[/tex]

Divide both sides by 3.

[tex]\dfrac{9}{3}=k[/tex]

[tex]3=k[/tex]

Therefore, the value of k is 3.