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Ket [755]
3 years ago
12

Consider the function attached below

Mathematics
1 answer:
Masja [62]3 years ago
4 0

Answer:

2

Step-by-step explanation:

Hello,

x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{2f^{-1}(x)}+5\\\sqrt{2f^{-1}(x)} =x-5\\2f^{-1}(x)=(x-5)^2\\f^{-1}(x)=\dfrac{(x-5)^2}{2}

now let's replace x by 7 it comes

f^{-1}(7)=\dfrac{(7-5)^2}{2}=\dfrac{2^2}{2}=2

hope this helps

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Given this function: f ( x )=−2cos(4 πx ) Find the following:
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Answer:

Period =½

Equation of midline, y=0

Maximum =2

Minimum=-2

Step-by-step explanation:

The given function is

f(x) =  - 2 \cos(4 \pi \: x)

The period is given by:

\frac{2\pi}{b}  =   \frac{2\pi}{4\pi} =  \frac{1}{2}

The equation of the midline is y=0 since there is no vertical shift

The amplitude of this function is 2 so the range is -2≤y≤2.

Hence the maximum value is 2 and minimum value is -2

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Steven brought a shirt and a pair of shoes for $95.50. If the shirt costs $12.30 more than the shoes, what was the price of the
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Two polygons are similar with the longest side of one 8 and the longest side of the other 10. Find the ratio of the areas.
liubo4ka [24]
<span>The ratio of sides is, 8:10 = 4:5
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</span>
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Read 2 more answers
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Evan wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
pentagon [3]

Answer:  A.   A=(1000-2w)*w      B. 250 feet

C.  125 000 square feet

Step-by-step explanation:

The area of rectangular is A=l*w    (1)

From another hand the length of the fence is 2*w+l=1000        (2)

L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.

Express l from (2):

l=1000-2w

Substitude l in (1) by 1000-2w

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Part B.

To find the width w  (Wmax) that corresponds to max of area A   we have to dind the roots of equation (1000-2w)w=0  ( we get it from (3))

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