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Andrei [34K]
3 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]3 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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Anestetic [448]

Answer:

see explanation

Step-by-step explanation:

To show f and g are inverses we require to show that

f(g(x)) = x and g(f(x)) = x

f(g(x))

= f(6x - 4)

= \frac{6x-4+4}{6} = \frac{6x}{6} = x

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g(f(x))

= g(\frac{x+4}{6} )

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= x + 4 - 4 = x

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Hence f and g are inverses

4 0
4 years ago
Find the distance between A and B. Round to the nearest hundredth. <br> ​A (-7,-1)<br> ​B (6,-5)
taurus [48]

Answer:

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Step-by-step explanation:

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Where

x1=-7

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y1=-1

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Putting in the formula

Distance=√(6+7)²+(-5+1)²

D=√(13)²+(-4)²

D=√169+16

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4 0
3 years ago
I need a bit of help:)
myrzilka [38]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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