Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your
2 answers:
Given the function
The inverse of the function is calculated by changing f(x) to y and making x the subject of the formula as follows:
We now change back the variables to get the function in the form of inverse function as follows:
Comparing this with Talib's work, we can see that he is correct except for the last line where he did not change the variable y back to x.
Therefore, the last line of his work made his inverse not to be correct.
The inverse of the function is calculated by changing f(x) to y and making x the subject of the formula as follows:
We now change back the variables to get the function in the form of inverse function as follows:
Comparing this with Talib's work, we can see that he is correct except for the last line where he did not change the variable y back to x.
Therefore, the last line of his work made his inverse not to be correct.
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*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.
