+129899 Let's write
y = 16 / ( 5 + 3x) the object is to first get x by itself.......multiply both sides by 5 + 3x
y ( 5 + 3x ) = 16 simplify
5y + 3xy = 16 subtract 5y from both sides
3xy = 16 - 5y divide both sides by 3y
x = ( 16 - 5y) / ( 3y) "swap" x and y
y = (16 -5x) / ( 3x) = the inverse = f-1(x)
f-1(-2) = (16 - 5(-2) ) / (3 * -2) = 26 / -6 = -13/3
Check that f(-13/3) = -2
