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.