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The following code works perfectly :

var('W1, W2, Ub, p')
a, x, y = SR.var('a,x,y')
W2=W
U(x)=x^a

    assume(a, 'real')
    assume(a, 'noninteger')   # or alternatively 'integer'
    assume(x, 'real')
    assume(y, 'real')
    assume(x > 0)
    assume(y > 0)
    U(x).substitute(x==y)
    show(U(x))
    V=solve(x == U(y), [y])[0].rhs().function(x)
    show(V)
    VV=((Ub-p*U(W2))/(1-p))^(1/a)
    show(VV)

But now I want to be also able to attribute some values to the parameters and the variable to achieve an evaluation. I need the function and it's inverse. I have seen the methode lambda x in the documentation but it's end with an error.

The following code works perfectly :

var('W1, W2, Ub, p')
a, x, y = SR.var('a,x,y')
W2=W
U(x)=x^a

    assume(a, 'real')
    assume(a, 'noninteger')   # or alternatively 'integer'
    assume(x, 'real')
    assume(y, 'real')
    assume(x > 0)
    assume(y > 0)
    U(x).substitute(x==y)
    show(U(x))
    V=solve(x == U(y), [y])[0].rhs().function(x)
    show(V)
    VV=((Ub-p*U(W2))/(1-p))^(1/a)
    show(VV)

But now I want to be also able to attribute some values to the parameters and the variable to achieve an evaluation. evaluation and plot according to the parameter values. I need the function and it's inverse. I have seen the methode lambda x in the documentation but it's end with an error.