I have two functions as follows:
-((5 + 2 k - 3 l - 4 x - 2 k x + 2 l x)/(3 (-2 - k + l))) -
(2^(1/3) (-(5 + 2 k - 3 l - 4 x - 2 k x + 2 l x)^2 + 3 (-2 - k + l) (-8 - 4 k + 6 x + 4 k x - 2 l x - 2 x^2 - k x^2 + l x^2)))/
(3 (-2 - k + l) (146 + 60 k - 57 k^2 - 25 k^3 - 18 l + 90 k l + 54 k^2 l - 135 l^2 - 81 k l^2 + 54 l^3 - 84 x - 282 k x - 204 k^2 x - 42 k^3 x - 102 l x +
84 k l x + 60 k^2 l x + 180 l^2 x + 36 k l^2 x - 54 l^3 x + 24 x^2 + 84 k x^2 + 66 k^2 x^2 + 15 k^3 x^2 + 12 l x^2 - 36 k l x^2 - 21 k^2 l x^2 - 30 l^2 x^2 -
3 k l^2 x^2 + 9 l^3 x^2 - 16 x^3 - 24 k x^3 - 12 k^2 x^3 - 2 k^3 x^3 + 24 l x^3 + 24 k l x^3 + 6 k^2 l x^3 - 12 l^2 x^3 - 6 k l^2 x^3 + 2 l^3 x^3 +
Sqrt[(146 + 60 k - 57 k^2 - 25 k^3 - 18 l + 90 k l + 54 k^2 l - 135 l^2 - 81 k l^2 + 54 l^3 - 84 x - 282 k x - 204 k^2 x - 42 k^3 x - 102 l x + 84 k l x +
60 k^2 l x + 180 l^2 x + 36 k l^2 x - 54 l^3 x + 24 x^2 + 84 k x^2 + 66 k^2 x^2 + 15 k^3 x^2 + 12 l x^2 - 36 k l x^2 - 21 k^2 l x^2 - 30 l^2 x^2 -
3 k l^2 x^2 + 9 l^3 x^2 - 16 x^3 - 24 k x^3 - 12 k^2 x^3 - 2 k^3 x^3 + 24 l x^3 + 24 k l x^3 + 6 k^2 l x^3 - 12 l^2 x^3 - 6 k l^2 x^3 + 2 l^3 x^3)^2 +
4 (-(5 + 2 k - 3 l - 4 x - 2 k x + 2 l x)^2 + 3 (-2 - k + l) (-8 - 4 k + 6 x + 4 k x - 2 l x - 2 x^2 - k x^2 + l x^2))^3])^(1/3)) +
(1/(3 2^(1/3) (-2 - k + l))) (146 + 60 k - 57 k^2 - 25 k^3 - 18 l + 90 k l + 54 k^2 l - 135 l^2 - 81 k l^2 + 54 l^3 - 84 x - 282 k x - 204 k^2 x - 42 k^3 x -
102 l x + 84 k l x + 60 k^2 l x + 180 l^2 x + 36 k l^2 x - 54 l^3 x + 24 x^2 + 84 k x^2 + 66 k^2 x^2 + 15 k^3 x^2 + 12 l x^2 - 36 k l x^2 - 21 k^2 l x^2 -
30 l^2 x^2 - 3 k l^2 x^2 + 9 l^3 x^2 - 16 x^3 - 24 k x^3 - 12 k^2 x^3 - 2 k^3 x^3 + 24 l x^3 + 24 k l x^3 + 6 k^2 l x^3 - 12 l^2 x^3 - 6 k l^2 x^3 +
2 l^3 x^3 + Sqrt[(146 + 60 k - 57 k^2 - 25 k^3 - 18 l + 90 k l + 54 k^2 l - 135 l^2 - 81 k l^2 + 54 l^3 - 84 x - 282 k x - 204 k^2 x - 42 k^3 x - 102 l x +
84 k l x + 60 k^2 l x + 180 l^2 x + 36 k l^2 x - 54 l^3 x + 24 x^2 + 84 k x^2 + 66 k^2 x^2 + 15 k^3 x^2 + 12 l x^2 - 36 k l x^2 - 21 k^2 l x^2 -
30 l^2 x^2 - 3 k l^2 x^2 + 9 l^3 x^2 - 16 x^3 - 24 k x^3 - 12 k^2 x^3 - 2 k^3 x^3 + 24 l x^3 + 24 k l x^3 + 6 k^2 l x^3 - 12 l^2 x^3 - 6 k l^2 x^3 +
2 l^3 x^3)^2 + 4 (-(5 + 2 k - 3 l - 4 x - 2 k x + 2 l x)^2 + 3 (-2 - k + l) (-8 - 4 k + 6 x + 4 k x - 2 l x - 2 x^2 - k x^2 + l x^2))^3])^(1/3)
-((5 + 2*k - 3*l - 4*z - 2*k*z + 2*l*z)/(3*(-2 - k + l))) -
(2^(1/3)*(-(5 + 2*k - 3*l - 4*z - 2*k*z + 2*l*z)^2 + 3*(-2 - k + l)*(-8 - 4*k + 6*z + 4*k*z - 2*l*z - 2*z^2 - k*z^2 + l*z^2)))/
(3*(-2 - k + l)*(146 + 60*k - 57*k^2 - 25*k^3 - 18*l + 90*k*l + 54*k^2*l - 135*l^2 - 81*k*l^2 + 54*l^3 - 84*z - 282*k*z - 204*k^2*z - 42*k^3*z - 102*l*z +
84*k*l*z + 60*k^2*l*z + 180*l^2*z + 36*k*l^2*z - 54*l^3*z + 24*z^2 + 84*k*z^2 + 66*k^2*z^2 + 15*k^3*z^2 + 12*l*z^2 - 36*k*l*z^2 - 21*k^2*l*z^2 - 30*l^2*z^2 -
3*k*l^2*z^2 + 9*l^3*z^2 - 16*z^3 - 24*k*z^3 - 12*k^2*z^3 - 2*k^3*z^3 + 24*l*z^3 + 24*k*l*z^3 + 6*k^2*l*z^3 - 12*l^2*z^3 - 6*k*l^2*z^3 + 2*l^3*z^3 +
Sqrt[(146 + 60*k - 57*k^2 - 25*k^3 - 18*l + 90*k*l + 54*k^2*l - 135*l^2 - 81*k*l^2 + 54*l^3 - 84*z - 282*k*z - 204*k^2*z - 42*k^3*z - 102*l*z + 84*k*l*z +
60*k^2*l*z + 180*l^2*z + 36*k*l^2*z - 54*l^3*z + 24*z^2 + 84*k*z^2 + 66*k^2*z^2 + 15*k^3*z^2 + 12*l*z^2 - 36*k*l*z^2 - 21*k^2*l*z^2 - 30*l^2*z^2 -
3*k*l^2*z^2 + 9*l^3*z^2 - 16*z^3 - 24*k*z^3 - 12*k^2*z^3 - 2*k^3*z^3 + 24*l*z^3 + 24*k*l*z^3 + 6*k^2*l*z^3 - 12*l^2*z^3 - 6*k*l^2*z^3 + 2*l^3*z^3)^2 +
4*(-(5 + 2*k - 3*l - 4*z - 2*k*z + 2*l*z)^2 + 3*(-2 - k + l)*(-8 - 4*k + 6*z + 4*k*z - 2*l*z - 2*z^2 - k*z^2 + l*z^2))^3])^(1/3)) +
(1/(3*2^(1/3)*(-2 - k + l)))*(146 + 60*k - 57*k^2 - 25*k^3 - 18*l + 90*k*l + 54*k^2*l - 135*l^2 - 81*k*l^2 + 54*l^3 - 84*z - 282*k*z - 204*k^2*z - 42*k^3*z -
102*l*z + 84*k*l*z + 60*k^2*l*z + 180*l^2*z + 36*k*l^2*z - 54*l^3*z + 24*z^2 + 84*k*z^2 + 66*k^2*z^2 + 15*k^3*z^2 + 12*l*z^2 - 36*k*l*z^2 - 21*k^2*l*z^2 -
30*l^2*z^2 - 3*k*l^2*z^2 + 9*l^3*z^2 - 16*z^3 - 24*k*z^3 - 12*k^2*z^3 - 2*k^3*z^3 + 24*l*z^3 + 24*k*l*z^3 + 6*k^2*l*z^3 - 12*l^2*z^3 - 6*k*l^2*z^3 +
2*l^3*z^3 + Sqrt[(146 + 60*k - 57*k^2 - 25*k^3 - 18*l + 90*k*l + 54*k^2*l - 135*l^2 - 81*k*l^2 + 54*l^3 - 84*z - 282*k*z - 204*k^2*z - 42*k^3*z - 102*l*z +
84*k*l*z + 60*k^2*l*z + 180*l^2*z + 36*k*l^2*z - 54*l^3*z + 24*z^2 + 84*k*z^2 + 66*k^2*z^2 + 15*k^3*z^2 + 12*l*z^2 - 36*k*l*z^2 - 21*k^2*l*z^2 -
30*l^2*z^2 - 3*k*l^2*z^2 + 9*l^3*z^2 - 16*z^3 - 24*k*z^3 - 12*k^2*z^3 - 2*k^3*z^3 + 24*l*z^3 + 24*k*l*z^3 + 6*k^2*l*z^3 - 12*l^2*z^3 - 6*k*l^2*z^3 +
2*l^3*z^3)^2 + 4*(-(5 + 2*k - 3*l - 4*z - 2*k*z + 2*l*z)^2 + 3*(-2 - k + l)*(-8 - 4*k + 6*z + 4*k*z - 2*l*z - 2*z^2 - k*z^2 + l*z^2))^3])^(1/3)
As you see the first one depens on x
, k
and l
and the second one depends on z
, k
and l
. The parameters take values between 0 to 1. I have to plot these two functions against each other as those parameters changes from 0 to 1. I think they should look like symmetric to each other.
Could you please help me?
Thanks,