9514 1404 393
Answer:
f^-1(x) = 4+∛((x-6)/5)
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
then write the answer in functional form.
![\displaystyle x=f(y)\\\\x=5(y-4)^3+6\\\\x-6=5(y-4)^3\\\\\frac{x-6}{5}=(y-4)^3\\\\\sqrt[3]{\frac{x-6}{5}}=y-4\\\\y=4+\sqrt[3]{\frac{x-6}{5}}\\\\\boxed{f^{-1}(x)=4+\sqrt[3]{\frac{x-6}{5}}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3Df%28y%29%5C%5C%5C%5Cx%3D5%28y-4%29%5E3%2B6%5C%5C%5C%5Cx-6%3D5%28y-4%29%5E3%5C%5C%5C%5C%5Cfrac%7Bx-6%7D%7B5%7D%3D%28y-4%29%5E3%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%3Dy-4%5C%5C%5C%5Cy%3D4%2B%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%5C%5C%5C%5C%5Cboxed%7Bf%5E%7B-1%7D%28x%29%3D4%2B%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%7D)
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The graph shows the function and its inverse to be reflections of each other in the line y=x, as they should be.
Answer:
1. About 9 left. 2. £21 left
Step-by-step explanation:
First, you do 65 ÷ 3 = 21.7 if rounding to the tenths, 21.67 if to the hundredths, and so on. Then you do 21.67 - 12 = 9.67. But since it is cards, I would say about 9 left.
First you add the £20 to the £70 to get £90. then you multiply 7×3 to get £21 spent on books. After that, multiply 12×4 to get £48 spent on games. then do 48 + 21 = 69. 90-69= 21.
Here is the equation....
(70+20)-[(7×3)+(12×4)] = £21
Answer:
15
Step-by-step explanation:
To solve this, divide 192 by 8:
192/9 = 24
Subtract 9 from 24:
24 - 9 = 15
Therefore, 8 times the sum of 9 and 15 is 192
Answer:
85j-6/5j
Step-by-step explanation:
Answer:
f = 10/3
Step-by-step explanation:
-15 + 6f = 5
-15 + 15 + 6f = 5 + 15
6f = 20
6f/6 = 20/6
f = 20/6 = 10/3 = 3.333...
