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Savatey [412]
3 years ago
14

For the funtion f(x)= (x+7)^5, Find f^-1 (x)

Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer:

The inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

Step-by-step explanation:

For the function f(x)= (x+7)^5, Find f^{-1} (x)

For finding inverse of x,

First let:

y=(x+7)^5

Now replace x with y and y with x

x=(y+7)^5

Now, solve for y

Taking 5th square root on both sides

\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7

Now, replace y with f^{-1} (x)

f^{-1} (x)=\sqrt[5]{x}+7

So, the inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

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Q. Which graph represents the solutions to the inequality |2x − 4| less than or equal to 14?
alina1380 [7]
The answer should actually be option B)

hope this helped and please vote me brainiest

7 0
3 years ago
the radious of each wheel of a car is 16 inches at how many revolutions per minute should a spin balancer be set to balance the
Alex Ar [27]

Answer:

revolutions per minute for 16 inches is 946 / minute

revolutions per minute for 14 inches is 1081 / minute

Step-by-step explanation:

Given data

radius = 16 inch

speed = 90 mph  = 90/60 = 1.5 miles/minute = 1.5 × 5280 feet /12 inches = 95040 inches /minute

radius 2 = 14 inches

to find out

revolutions per minute

solution

first we calculate the circumference of the wheel i.e. 2×\pi×radius

circumference = 2×\pi×16

circumference = 32\pi

we know that revolution is speed / circumference

revolution = 95040/32\pi

revolution = 945.38 / minute

we have given radius 14 inches than revolution will be i.e.

revolution = speed / circumference

circumference = 2×\pi×14

circumference = 28\pi

revolution =  95040/ 28\pi

revolution = 1080.43 / minute

7 0
3 years ago
∠A and ∠B are supplementary, and ∠A and ∠C are supplementary. Which conclusion is valid? Select one: A. ∠B and ∠C are supplement
zysi [14]

Option D is the correct answer.

Answer:

D. ∠B and ∠C are congruent.

Step-by-step explanation:

Since, ∠A and ∠B are supplementary.

Therefore,

∠A + ∠B = 180°.....(1)

Since, ∠A and ∠C are supplementary.

Therefore,

∠A + ∠C = 180°.....(2)

From equations (1) & (2)

∠A + ∠B = ∠A + ∠C

=> ∠B = ∠C

Hence, ∠B and ∠C are congruent.

4 0
3 years ago
The angles below are supplementary. What is the value of x?<br><br><br> 5<br> 7.5<br> 15<br> 30
OLEGan [10]

Answer:

x=30

Step-by-step explanation:

The two angles are supplementary.  They add to 180

4x+20 + 40 =180

Combine like terms

4x+60 =180

Subtract 60 from each side

4x+60-60 = 180-60

4x = 120

Divide each side by 4

4x/4 = 120/4

x = 30


7 0
3 years ago
Read 2 more answers
Heyy could you help me out with this question I have been stuck in this question??​
Ludmilka [50]
I think the first box is perpendicular good luck
6 0
2 years ago
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