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Pachacha [2.7K]
3 years ago
8

Find the inverse of the Function

0-4" id="TexFormula1" title="f(x)=\sqrt[3]{\frac{x}{9} } -4" alt="f(x)=\sqrt[3]{\frac{x}{9} } -4" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
scoray [572]3 years ago
6 0

9514 1404 393

Answer:

  D

Step-by-step explanation:

Solve x = f(y) for y.

  x = ∛(y/9) -4

  x +4 = ∛(y/9) . . . . . add 4

  (x +4)³ = y/9 .. . . . . cube

  9(x +4)³ = y . . . . . . multiply by 9

The inverse function is ...

  f⁻¹(x) = 9(x +4)³ . . . . . matches the last choice

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Os
algol [13]

Answer:

\boxed{\sf{4}}}

Step-by-step explanation:

Use a slope form.

<u>Slope:</u>

\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run}  }

y₂ = (17)

y₁ = (1)

x₂ = (2)

x₁ = (-2)

Then, rewrite the problem.

Solve.

\sf{\dfrac{17-1}{2-(-2)}=\dfrac{16}{4}=\dfrac{16\div4}{4\div4}=\dfrac{4}{1}=\boxed{\sf{4}    }

Therefore, the slope is 4, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

5 0
2 years ago
An observation deck extends 120 feet out above a valley. The deck sits 70 feet above the valley floor. If an object is dropped f
Rzqust [24]

Answer:

2

Step-by-step explanation:

The height formula given is:

h = -16t^2 + 70

That means the object will be initially (t=0) at the height 70 feet, from where it will be dropped.

If we want to know the time when the object will be at height 6 feet, we just need to use h=6 in the equation, and then calculate the value of t:

6 = -16t^2 + 70

16t^2 = 64

t^2 =4

t = 2 s

So, it will take 2 seconds for the object to be 6 feet above the valley floor.

8 0
3 years ago
1 of 5
Allisa [31]

Answer:

7/1296

Step-by-step explanation:

Multiply the two probabilities.

7/36 x 1/36 = 7/1296

3 0
3 years ago
Read 2 more answers
HELP PLEASEEE Angle M' is the result of its pre-image, angle sliding horizontally in a direction and vertically in a direction.
Kobotan [32]

Answer:

angle M

horizontally in a positive

vertically in a positive

4 0
3 years ago
a triangle has a perimeter of 39 cm .if one side is increased by 2cm the other sides are increased by 1cm each in measure, what
pshichka [43]
It would be  15,14,14
7 0
3 years ago
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