Hello, I am new CVX user. So I need help to solve my function. My objective function is (x/(1-x))

I try to solve in CVX software, but results show Disciplined convex programming error:

Cannot perform the operation: {real affine} .* {convex}

How to solve the problem. Please be advise and thanks in advance. Code below:

cvx_begin

cvx_expert true

cvx_precision best

variable x nonnegative

maximize x

subject to

0.1 <= x <= 1;

x.*inv_pos((1-x)) <= 10;

cvx_end