I don’t understand inverses and I need step by step for each one. Please help me
1 answer:
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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Answer with explanation:
The given differential equation is
x²y" -7 x y' +1 6 y=0---------(1)
Let, y'=z
y"=z'
Substitution the value of y, y' and y" in equation (1)
→x²z' -7 x z+16 zx=0
→x² z' + 9 zx=0
→x (x z'+9 z)=0
→x=0 ∧ x z'+9 z=0
is another independent solution.where m and K are constant of integration.