Answer:
The answer is y = ± ![\sqrt[4]{\frac{x}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7Bx%7D%7B4%7D%7D)
, 
is a function ⇒ 1st answer
Step-by-step explanation:
Let us revise the steps of find the inverse of a function
- Replace f(x) with y
- Replace every x by y and replace y by x
- Solve the equation in Step 2 for y
- Replace y by
∵ 
- Replace f(x) by y
∴ 
- Replace y by x and x by y
∴ 
- Divide each side by 4
∴ 
- Take ![\sqrt[4]{}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%7D)
for both sides
∴ ± ![\sqrt[4]{\frac{x}{4}}=y](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7Bx%7D%7B4%7D%7D%3Dy)
- Switch the two sides
∴ y = ±
∵ There is no fourth root for negative number
∴ x ≥ 0
When you test the graph of by a vertical line, it will cut it just at one in every position, so it is a function. Look to the attached graph for more understand
∴ is a function
The answer is y = ± , is a function
*See attached picture showing the dot plots referred to
Answer:
16mm
Step-by-step Explanation:
Given the dot plot showing rainfall for Highlands storms, we can find out the median rainfall for Highlands storms by mere observing the dot plot and locating where the middle value falls within the data set that is represented on the dot plot.
Thus, we have 44 data sets that is being represented on the plot, with one dot representing one data set for rainfall. This means, since the total number of data set is even, our median lies between the 22nd and the 23rd dot or data set that is being plotted.
From the dot plot for Highlands, the 22nd and 23rd dots are 16 and 16 respectively.
Therefore, median rainfall for Highland storms = (16 + 16) ÷ 2 = 16.
Answer:
A perfect cube
Step-by-step explanation:
27 is a perfect cube of 3
Answer:
<h2>
3y + 2 = 8</h2>
Step-by-step explanation:
solve A
2y - 3 = 19
2y = 22
y = 11
solve B
3y + 2 = 8
3y = 6
<h2>
y = 2</h2>
solve C
4y - 4 = -4
4y = 0
y = 0
solve D
5y + 1 = 10
5y = 9
y = 9/5
I hope this helps you
x= -1 f (-1)=(-1)^2+7=1+7=8
g (f (-1))= g (8)
x=8 g (8)= 8-4/8=4/8=1/2
