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Andrei [34K]
2 years ago
14

I don’t understand inverses and I need step by step for each one. Please help me

Mathematics
1 answer:
anzhelika [568]2 years ago
3 0

First you have to replace each F(x) or functions like that with y. Then you swap the x (in some of your functions n) with the y. Step number three is to solve for y.

10. y=2x^5 -1

x = 2y^5 - 1

x + 1 = 2y^5

(x + 1) / 2 = y^5

[ ( x + 1 ) / 2 ] ^1/5 = y or all of the answer in brackets underneath a with the number 5

You then replace the y that is all by itself with the f^-1(x) or n

11. y = ( -5n + 20 ) / 2

12. y = - (x/2)^1/3 do the same thing as before and put it under a radical with the number three with the negative on the outside

13. y = -3n + 4

14. y = x^3 - 1

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Step-by-step explanation:

Subtract the exponents

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2 years ago
Question number 1: 5/8 (16b+24) -1/2b<br><br> Question number 2: 3/4 (16/64 + 12a) -9a
Sophie [7]

Answer:

Problem 1. <em>(19/2)b + 15</em>

Problem 2. <em>3/16</em>

Step-by-step explanation:

Question number 1

5/8 (16b+24) -1/2b  =

= (5/8) * (16/1) * b + (5/8) * 24 - (1/2)b

= 10b + 15 - (1/2)b

= (20/2)b - (1/2)b + 15

= (19/2)b + 15

Question number 2

3/4 (16/64 + 12a) -9a =

= (3/4) * (16/64) + (3/4) * 12a - 9a

= (3 * 16)(4 * 64) + (3/4) * (12/1) * a - 9a

= (3 * 1)(4 * 4) + (3 * 12)/(4 * 1) * a - 9a

= 3/16 + (3 * 3)/(1 * 1) * a - 9a

= 3/16 + 9a - 9a

= 3/16

5 0
2 years ago
If f(7)=22, then f-1(22)=
nignag [31]

Answer:

f^{-1} (22) = 7

Step-by-step explanation:

The inverse function maps the output of the function back to its input

f(7) = 22 means when input is 7 the output is 22

The inverse maps the output 22 back to the input 7 , that is

f^{-1} (22) = 7

4 0
3 years ago
The price of all rail season tickets increased by 6%. After the increase, the price of a rail season ticket from Sheffield to Le
valentina_108 [34]

Answer:

£2720

Step-by-step explanation:

106%=2883.20

100%=x

106x=288320

divide both by 106 it gives 2720

8 0
2 years ago
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