Question

What is the value of k in the function f(x) =112 - kx if f(-3) = 121?

Answer 1

Given:

The given function is

`f(x)=112-kx`

`f(-3)=121`

To find:

The value of k.

Solution:

We have,

`f(x)=112-kx`

Putting x=-3, we get

`f(-3)=112-k(-3)`

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

Subtract both sides by 112.

`121-112=3k`

`9=3k`

Divide both sides by 3.

`(9)/(3)=k`

`3=k`

Therefore, the value of k is 3.