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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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Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is deciding between two types of custom tile
Gre4nikov [31]

Your answer is the second option, she should choose the rectangular tiles because the total cost will be $8 less.

To find this answer we need to first find the total cost for using square tiles, and the cost for using rectangular tiles, and compare them. We can do this by finding the area of each tile individually, calculating how many tiles we would need, and multiplying this by the cost for one tile:

Square tiles:

The area of one square tile is 1/2 × 1/2 = 1/4 ft. Therefore we need 40 ÷ 1/4 = 160 tiles. If each tile costs $0.45, this means the total cost will be $0.45 × 160 = $72

Rectangular tiles:

The area of one rectangular tile is 2 × 1/4 = 2/4 = 1/2 ft. Thus we need 40 ÷ 1/2 = 80 tiles. Each tile costs $0.80, so the total cost will be 80 × $0.80 = $64.

This shows us that the rectangular tiles will be cheaper by $8.

I hope this helps! Let me know if you have any questions :)

6 0
3 years ago
Determine the measure of an angle whose measure is 14 times that of its complement
mrs_skeptik [129]

Answer:

84°

Step-by-step explanation:

Let the two complementary angles be x and y.

If the measure of an angle is 14 times the other, then x = 14y...... 1

Since the two angles are complementary, their sum will be 90° i.e x+y = 90° ...... 2

Substitute equation 1 into 2

14y+y = 90

15y = 90

y = 90/15

y = 6

Since the angle is x = 14y

x = 14(6)

x = 84°

Hence the measure of the angle is 84°

8 0
3 years ago
Anybody willing to help?
barxatty [35]
The answer is 72.17 using the formula for a square pyramid
3 0
3 years ago
Evaluate b^2c^-1 for b = -4 and c = 2.<br><br> A. 8<br> B. -8<br> C. 32<br> D. 4
navik [9.2K]

Answer:

D) 4

Step-by-step explanation:

-4^2 = 16

c^-1 = 0.25

16 times 0.25 = 4

3 0
3 years ago
Read 2 more answers
if 31/2 pounds of bananas cost $1.96, how much would one pound cost? a. $.56 b. $.18 c. $.66 d. $1.76
andre [41]
3 1/2 = 7/2

so than 7/2 pounds cost 1,96 
     than 1 pound cost x 
 -----------------------------------------
   x = 1*1,96/(7/2) = (1,96 *2)/7 = 3,92 /7 = 0,56 so will cost $,56 so choice a. is right sure 
4 0
3 years ago
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