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Damm [24]
3 years ago
10

What are inverse functions?

Mathematics
2 answers:
laila [671]3 years ago
8 0

If functions transfer some a to b via some formula, then inverse of such functions transfer b to a via some other formula.

Hope this helps.

SVEN [57.7K]3 years ago
7 0
An inverse function is a function that reverses another function for example if the function F applied to an input X gives a result of y, when applying its inverse function G to Y gives you the redeploy of x
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Law Incorporation [45]

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x= $19.25 + $36

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Step-by-step explanation:

x= number of nights + admission

y= total cost

7 0
3 years ago
An area is approximated to be 14 in 2 using a left-endpoint rectangle approximation method. A right- endpoint approximation of t
USPshnik [31]
The trapezoidal approximation will be the average of the left- and right-endpoint approximations.

Let's consider a simple example of estimating the value of a general definite integral,

\displaystyle\int_a^bf(x)\,\mathrm dx

Split up the interval [a,b] into n equal subintervals,

[x_0,x_1]\cup[x_1,x_2]\cup\cdots\cup[x_{n-2},x_{n-1}]\cup[x_{n-1},x_n]

where a=x_0 and b=x_n. Each subinterval has measure (width) \dfrac{a-b}n.

Now denote the left- and right-endpoint approximations by L and R, respectively. The left-endpoint approximation consists of rectangles whose heights are determined by the left-endpoints of each subinterval. These are \{x_0,x_1,\cdots,x_{n-1}\}. Meanwhile, the right-endpoint approximation involves rectangles with heights determined by the right endpoints, \{x_1,x_2,\cdots,x_n\}.

So, you have

L=\dfrac{b-a}n\left(f(x_0)+f(x_1)+\cdots+f(x_{n-2})+f(x_{n-1})\right)
R=\dfrac{b-a}n\left(f(x_1)+f(x_2)+\cdots+f(x_{n-1})+f(x_n)\right)

Now let T denote the trapezoidal approximation. The area of each trapezoidal subdivision is given by the product of each subinterval's width and the average of the heights given by the endpoints of each subinterval. That is,

T=\dfrac{b-a}n\left(\dfrac{f(x_0)+f(x_1)}2+\dfrac{f(x_1)+f(x_2)}2+\cdots+\dfrac{f(x_{n-2})+f(x_{n-1})}2+\dfrac{f(x_{n-1})+f(x_n)}2\right)

Factoring out \dfrac12 and regrouping the terms, you have

T=\dfrac{b-a}{2n}\left((f(x_0)+f(x_1)+\cdots+f(x_{n-2})+f(x_{n-1}))+(f(x_1)+f(x_2)+\cdots+f(x_{n-1})+f(x_n))\right)

which is equivalent to

T=\dfrac12\left(L+R)

and is the average of L and R.

So the trapezoidal approximation for your problem should be \dfrac{14+21}2=\dfrac{35}2=17.5\text{ in}^2
4 0
3 years ago
Look at the photo pick A B C D either one explanation not needed thank you! <3
Nezavi [6.7K]

Answer:

-1

This is because in negative the numbers the higher the number, the lower its value

Step-by-step explanation:

6 0
3 years ago
Max is 6 years older than his brother. If Max is M years old, then his brother is ____ years old.
Doss [256]
Max' brother is M-6 years old.
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3 years ago
If f(x)=2x+1 and g(x)=x^2-7 find (f/g)(x)
Luden [163]

Step-by-step explanation:

f(x)=2x+1 and g(x)=x²-7

(f/g)(x) = (2x+1)/(x²-7)

3 0
3 years ago
Read 2 more answers
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