Question

Given the linear function k(x) = 12 and m(x) = 3x - 5, find the new function j(x) = k(x) * m(x).

Answer 1

j(x) = 36 x - 60

Explanation:

Here, the given functions are:

k(x) = 12

and m(x) = 3x - 3

Now, we need to find the expression for j(x) = k(x) * m(x)

By DISTRIBUTIVE PROPERTY:

A(B-C) = AB - AC

`k(x) *  m (x)  = 12   * (3x -5)\\ = 12(3x)  - 12 (5)\\= 36x - 60`

or, k(x) * m(x) = 36x - 60

Hence, j(x) = 36 x - 60