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Fantom [35]
2 years ago
15

Find the inverse function of f(x) = x^3/2

Mathematics
1 answer:
horrorfan [7]2 years ago
4 0

Answer:

<em>The answer is f^-1(x)=0^3</em>\sqrt{x}+2

Step-by-step explanation: Now we just change y back to f(x) and add a 0−1 to write it in inverse notation We begin with f(x)= x 3−2 . To find the inverse of any equation, just switch x and y No, before we do that, I'm going to change the equation. I'm going to rename f(x) to y , just so that I don't have to deal with the parentheses or anything. Now, all I have to do is change what f (x) is called, not it's actual value. Anyways, we have y = x 3 − 2 Now we switch x and y and then solve for y Now we've got x = y 3−2 If we add 2 on both sides we have x + 2 = y 3 Now we just need to get y as simple as possible, which we'll do by cube rooting both sides of the equation. That leaves us with y=0 3√x+2 Now we just change y back to f(x) and add a 0−1 to write it in inverse notation

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You want to buy a $200000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest. A. How much is
anygoal [31]

Answer:

A = 20,000

Step-by-step explanation:

200,000 ÷ 10 = 20,000

6 0
3 years ago
Y=-x^2-10x+24 What is the y value of the vertex?
emmasim [6.3K]

Answer:

Step-by-step explanation:

1.) Get the equation in the form y = ax^2 + bx + c.

2.) Calculate -b / 2a. This is the x-coordinate of the vertex.

3.) To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.

1.) y = -x^2 - 10x + 24

2.) -(-10) / 2(-1) = -5

3.) y = -(-5)^2 - 10(-5) + 24

    y = -25 + 50 + 24

    y = 49

7 0
3 years ago
The zeros of a parabola are –4 and 2, and (6, 10) is a point on the graph. Which equation can be solved to determine the value o
Oliga [24]
The equation of the parabola is
.. y = a(x +4)(x -2)

Substituting (x, y) = (6, 10) gives
.. 10 = a(6 +4)(6 -2)

The 4th selection is appropriate.
7 0
3 years ago
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A recipe calls for 3 cups of flour for 54 cookies. How much flour is needed<br> for 78 cookies?
Feliz [49]

Answer:

4 cups

Step-by-step explanation:

Because, 54 cookies divided by 3 cups equals, 18 cookies per cup. 54 cookies plus 18 cookies (aka 1 cup) equals 72 cookies for 4 cups.

3 0
2 years ago
Mr. Smith estimates that
OLEGan [10]

Answer:

B. 7.5 hours

Step-by-step explanation:

Assuming that both hoses fill at the same rate, then by simple proportion,

To raise the pool by 1 foot of water:

1 hose ---> takes 3 hours

2 hoses ----> fills twice as fast ---> will take half the time ---> 3/2 = 1.5 hrs

Hence with 2 hoses, it will take 1.5 hours to fill 1 foot of water.

to fill 5 feet of water, we will need 1.5 hours x 5 feet = 7.5 hours

5 0
3 years ago
Read 2 more answers
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