Question

Please help asap...

Answer 1

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 ) = $\frac{x-4}{-7}$

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 ) = $\frac{x - 4}{-7}$

New Equation {Solved by Placing a Negative to the Left of the Equation} :
- $\frac{x - 4}{7}$

So, this means our answer for f ( x ) = $\frac{x - 4}{-7}$ is - $\frac{x-4}{7}$ .

BONUS:

The slope of the answer is - $\frac{1}{7}$



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 ♥