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 :
Problem :
f ( x ) = [tex] \frac{x-4}{-7} [/tex]
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.
Original Problem :
f ( x ) = [tex] \frac{x - 4}{-7} [/tex]
New Equation {Solved by Placing a Negative to the Left of the Equation} :
- [tex] \frac{x - 4}{7} [/tex]
So, this means our answer for f ( x ) = [tex] \frac{x - 4}{-7} [/tex] is - [tex] \frac{x-4}{7} [/tex] .
BONUS:
The slope of the answer is - [tex] \frac{1}{7} [/tex]
EQUATION NUMBER 2 :
Problem :
g ( x ) = -7x + 4
This equation here is already at its simplest form and cannot be simplified any farther.
So, this equation will stay just as it is.
ARE THEY INVERSE? :
If you want to find out if an equation is inverse, here's how you can tell...
If a function f ( x ) is mapping x to y, then the inverse function of that should map y back to x.
This may sound complicated, but it's fairley simple.
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.
Also, judging by the two equations, you can tell that the f ( x ) function would map from y to x.
This means both equations are inverse.
Hope I helped!
- Lindsey Frazier ♥
