Question

A function g is defined by g(x)=50−2x. If x increases by 7, by how much does g(x) decrease?

Answer 1

14

Explanation:

A function g is defined by
`g(x)=50-2x.`

If x increases by 7, then x becomes x + 7.

Substitute it into the function expression:

`g(x+7)\\ \\=50-2(x+7)\\ \\=50-2x-14\\ \\=36-2x`

Now find how g(x) decreases:

`g(x)-g(x+7)\\ \\=(50-2x)-(36-2x)\\ \\=50-2x-36+2x\\ \\=14`

g(x) decreases by 14