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solong [7]
3 years ago
8

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

Mathematics
1 answer:
Anna [14]3 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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givi [52]

Answer: The correct option is second, i.e., x>0.

Explanation:

As we know that the domain is the set of all possible inputs. If function is defined as, f(x) then all possible value of x for which the function f(x) is defined is called domain.

In a graph the domain is defined on the x axis and the range of the function is defined on y-axis.

In the given graph the function is defined from x=0 to x=\infty because for x\leq 0 the graph is not defined. It means for x\leq 0 the function is not defined.

Sicen the graph is defined for all positive values of x, therefore the domain of the function is al real number greater than 0. It can be written as x>0 and the second option is correct.

7 0
3 years ago
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4 divided by 992 because my calculator isn't helping and i'm not trynna fail
Black_prince [1.1K]

Answer:

4/992 = 0.00403225806

Step-by-step explanation:

I hope this helps!!

4 0
3 years ago
How many ways can the words in d-r-a-g-o-n-f-l-y be arranged
GarryVolchara [31]

Answer:

362880 ways

Step-by-step explanation:

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Third letter has 7 possibilities (two used), and so on.

So the number of ways is:

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3 years ago
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uysha [10]
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Answer:

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Step-by-step explanation:

N/A

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