Hey!
I know this is just one problem, but I'm going to explain how to solve each separately and how to tell if two equations are inverse.
EQUATION NUMBER 1 :
<em>Problem :</em>
f ( x ) =
A simple, easy way to solving this problem would be to get rid of the f ( x ) = part. After that's gone, move the negative symbol for negative 7 to the left of the whole equation.
<em>Original Problem :</em>
f ( x ) =
<em>New Equation {Solved by Placing a Negative to the Left of the Equation} :</em>
-
<em>So, this means our answer for f ( x ) =
is -
.</em>
<em>BONUS:
</em>
The slope of the answer is -
EQUATION NUMBER 2 :
<em>Problem :</em>
g ( x ) = -7x + 4
This equation here is already at its simplest form and cannot be simplified any farther.
<em>So, this equation will stay just as it is.</em>
ARE THEY INVERSE? :
If you want to find out if an equation is inverse, here's how you can tell...
<em>If a function f ( x ) is mapping x to y, then the inverse function of that should map y back to x.</em>
This may sound complicated, but it's fairley simple.
<em>When we simplified the first equation in problem one, we got the equation for problem two. That was a major hint that it could be the inverse equation.</em>
<em>Also, judging by the two equations, you can tell that the f ( x ) function would map from y to x.</em>
<em>This means</em>
both equations are inverse.Hope I helped!
- Lindsey Frazier ♥