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enot [183]
3 years ago
8

Determine the inverse function of f(x)=

{4x-1} " alt=" \sqrt{4x-1} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
gladu [14]3 years ago
7 0
f(x)=\sqrt{4x-1}\\
y=\sqrt{4x-1}\\
y^2=4x-1\\
4x=y^2+1\\
x=\dfrac{y^2+1}{4}\\
f^{-1}(x)=\dfrac{x^2+1}{4}\\
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Answer:

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The first thing to note is the two way table and ensure the proper arrangement of the figures in the table (Kindly find attached a picture of how the table should look)

Now, on to the first question on the former smokers with a university education = (43+28)/459 = 71/459 = 0.15 which is option A. [This is the total sum of former smokers with college and graduate school education].

The second question on the proportion of men with a high school education that are current or former smokers = (54+31+36)/459 = 0.285 = 0.30 (approximate value) which is option B.

The third question on the degrees of freedom for the chi-square test for this two-way table can be found with the formula DF = (r-1)(c-1) where,

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c = number of columns = 4 [<em>Kindly note that you have to exempt the row and columns with the totals</em>]

Therefore, DF = (3-1)(4-1) =2*3 = 6 which is option B.

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