Question

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

Answer 1

Answer:

And the results would apply to every fonction.

Answer 2

Answer:

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

Step-by-step 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 $f(x)+g(x)$.