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solong [7]
2 years ago
8

Finding the inverse function for f(x)=1/x^2

Mathematics
1 answer:
Anna [14]2 years ago
4 0

to get the inverse of any expression, we start off by doing a quick switcheroo on the variables and then solve for "y".

\stackrel{f(x)}{y}=\cfrac{1}{x^2}\implies \stackrel{\textit{quick switcheroo}}{x=\cfrac{1}{y^2}}\implies y^2=\cfrac{1}{x}\implies y=\sqrt{\cfrac{1}{x}}\implies \stackrel{f^{-1}(x)}{y}=\cfrac{1}{\sqrt{x}}

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Tom brought 7/8 gallons of water to a party and his friends drank2/3 of it. How many gallons of water did they drink?
natka813 [3]
In plain and short, what's 2/3 of 7/8?  well, is just their product.

\bf \cfrac{7}{8}\cdot \cfrac{2}{3}\implies \cfrac{7\cdot 2}{8\cdot 3}\implies \cfrac{14}{24}\implies \stackrel{simplified}{\cfrac{7}{12}}
5 0
3 years ago
Researchers investigated the possible beneficial effect on heart health of drinking black tea and whether adding milk to the tea
Elanso [62]

Answer:

(a)  It is an experiment.

(b) Group III has been tested to compare the effect of tea

Step-by-step explanation:

24 volunteers are randomly selected to one of the three groups.

Group I drinks two cups of hot black tea without milk

Group II drinks two cups of hot black tea with milk

Group III drinks two cups of hot water but no tea.

At the end of the month, the researchers measured the change in each of the participant's heart health.

The average change of health status of three Groups can be measured and let it be X1', X2' and X3'. We can set up the hypothesis of no difference of heart health i.e H0 : µ1 = µ2 = µ3 against the alternative hypothesis that they are not equal. As the sample size is less than 30, we can use t-statistic.

Under the above logic, (a) it is an experiment.

(b) Group III has been tested to compare the effect of tea or to have comparison between GroupI and Group III.

4 0
3 years ago
A carpenter purchased 70ft of redwood and 70ft of pine for a total cost of $282. A second purchase, at the same prices, included
dedylja [7]
I think the answer is $2.01 per 1ft of redwood and pine

282/2
=141

$141/70ft ÷ 70/70
=$20.1 per 1ft
7 0
3 years ago
What is the simplified expression for 2 (x minus 5)? 2 x Negative 10 x 2 x minus 10 2 x + 5
Kay [80]

Answer:

2x-10

Step-by-step explanation:

Multiply BOTH x and -5 by 2

7 0
3 years ago
Read 2 more answers
The area of a square is 9 centimeters squared (cm^2) If the sides of the square are doubled in length, what is the new area, in
Mice21 [21]

Answer:

The question says area of a square = 9 cm squared.

And they said if the sides are doubled in length what is the new length

so new length = 9 cm^2 × 9 cm^2

which should give you 81cm^2

therefore your answer should be = C

7 0
2 years ago
Read 2 more answers
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