Question

Write two linear functions, (x) and g(x). For example, f(x) = 3x - 7 and

g(x) = -2x + 5. Then see whether Rx) - (-9(x)) is equivalent to f(x)+ g(x). Hint:
To find -9(x), just change the signs of all the terms in g(x). Discuss whether
you think your results would apply to every function.

Answer 1

And the results would apply to every fonction.

Answer 2

`f(x)-(-g(x))` is equivalent to
`f(x)+g(x)`.

Explanation:

Given : Functions
`f(x)=3x-7` and
`g(x)=-2x+5`

To find :
`f(x)-(-g(x))` is equivalent to
`f(x)+g(x)` ?

Solution :

`f(x)=3x-7`

`g(x)=-2x+5`

`-g(x)=-(-2x+5)=2x-5`

First we determine,

`f(x)+g(x)=3x-7+(-2x+5)`

`f(x)+g(x)=3x-7-2x+5`

`f(x)+g(x)=x-2`

Now, we find

`f(x)-(-g(x))=3x-7-(2x-5)`

`f(x)-(-g(x))=3x-7-2x+5`

`f(x)-(-g(x))=x-2`

So,
`f(x)-(-g(x))` is equivalent to
`f(x)+g(x)`.