Idon’t understand inverses and i need step by step for each one. me

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

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you