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
Answer: 55
Explanation:
Find the area of the entire shape: 7x9=63
Find the area of the missing piece: 8
7-3=4 9-5=4 4x4=16 16/2=8
Find the area: 63-8=55
Answer:
Then, it costs $2120 to order 1000 pens and 2000 notebooks.
Step-by-step explanation:
The Students' Union needs to order 1000 pens and 2000 notebooks. The price per pen when buying 1000 of them is 60c. The price per notebook when buying 2000 of them is 76c.
Then the total of money needed to order 1000 pens and 2000 notebooks is:
Total Money = 1000 × 0.60 + 2000 × 0.76 = $2120
Then, it costs $2120 to order 1000 pens and 2000 notebooks.
Answer:
None
Step-by-step explanation:
Simply solve each linear equation and get value of R.
Or another way can be to put value of R in all four options and find whether left hand side is equal to right hand side or not.
A) 
R = -14
B) 
R = -37/8
C) 
R = 22/3
D) 
R = -28
So, none of the option's are having solution R =-17.
