To get the inverse
of any function f(x) [ just make sure that it passes the horizontal line test]
follow the steps:
- Solve for x, i.e separate x in one side
and the other terms in the other side, included f(x).
- Swap x and f(x).
- The result is the inverse of the original
function 
Let's apply that on your case:
![[tex]\(\begin{matrix} \\f(x) = 7x-13\\~\\ \\f(x)+13=7x\\~\\ \\ \frac{f(x)+13}{7} =x\\~\\ \\Now~swap\\~\\ \huge\underline{{f^{-1}(x)=\frac{x+13}{7}}} \end{matrix}\) ](https://tex.z-dn.net/?f=%5Btex%5D%5C%28%5Cbegin%7Bmatrix%7D%0A%5C%5Cf%28x%29%20%3D%207x-13%5C%5C~%5C%5C%0A%5C%5Cf%28x%29%2B13%3D7x%5C%5C~%5C%5C%0A%5C%5C%20%5Cfrac%7Bf%28x%29%2B13%7D%7B7%7D%20%3Dx%5C%5C~%5C%5C%0A%5C%5CNow~swap%5C%5C~%5C%5C%0A%20%5Chuge%5Cunderline%7B%7Bf%5E%7B-1%7D%28x%29%3D%5Cfrac%7Bx%2B13%7D%7B7%7D%7D%7D%0A%20%5Cend%7Bmatrix%7D%5C%29%0A)
[/tex]
And that is it :)
I hope that
helps!
9.50 + (2.20)r
For example if he fixed 3 watches
9.50 + (2.20)3
We plug in 3 for r and he makes 6.60 extra.
Tenth: 243.9
hundredth: 243.88
ten: 240
hundred: 200
Answer: b) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
<u>Step-by-step explanation:</u>
Graph the equation and the follow the curve from left to right. When you are going up, it is increasing. When you are going down, it is decreasing.
see the image below. Red is increasing. Blue is decreasing.
The vertices occur when x = -4/3 and x = 4/3
Answer:
3× + 3 = 10 + 2× find like terms 3× -2× = 10 -3 × = 7 final answer 7
