Answer:
The inverse of the function is ![f^{-1}(x) =\sqrt[5]{\frac{x-7}{3}}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%5Csqrt%5B5%5D%7B%5Cfrac%7Bx-7%7D%7B3%7D%7D)
Step-by-step explanation:
The steps to get the inverse of a function are:
- Replace f(x) with y
- Replace every x by y and every y by x
- Solve the new equation from for y
- Replace y with
∵ 
- Replace f(x) by y
∴ 
- Replace every x by y and every y by x
∴ 
- Subtract 7 from both sides
∴ 
- Divide both sides by 3
∴ 
- Insert fifth root for both sides
∴ ![\sqrt[5]{\frac{x-7}{3}}=y](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%5Cfrac%7Bx-7%7D%7B3%7D%7D%3Dy)
- Switch the two sides
∴ ![y=\sqrt[5]{\frac{x-7}{3}}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B5%5D%7B%5Cfrac%7Bx-7%7D%7B3%7D%7D)
- replace y by
∴
The inverse of the function is
The two functions are 1st degree polynomial, so they are both lines.
In order to draw a line, you have to sample two points and connect them.
To sample points from an equation, choose any value for x and compute the correspondent value for y.
For example, if we choose x=0 and x=1 for the first equation, we have
So, the line passes through the points 
and 
Similarly, if we choose x=0 and x=3 for the first equation, we have
So, this line passes through the points 
and 
If you draw the two points for each line and connect the pairs, you'll have the two lines.
Answer:
198.4
Step-by-step explanation:
multiply the mass value by 16
Answer:
Between -3 and -2 g(x) decreases, and the same is with B and C so the answer is D.
