Question 391624
{{{f(x) = -4x + 1}}}, and {{{g(x) = (1/4)*(1-x)}}}.  They are inverses, because

{{{(fog)(x) = -4*((1/4)*(1-x)) + 1 = -1 + x + 1 = x}}}, and 
{{{(gof)(x) = (1/4)*(1-(-4x + 1 )) = (1/4)*(4x ) = x}}}.