Let f(x)=1/ax+b where and b are non zero constants. Find all solutions to f^-1(x)=0. Express your answer in terms of a and/or b. Thank you.
f(x) = 1/(ax+b)
f^-1(x) = (1-bx)/(ax)
So, we want 1+bx = 0
x = 1/b
Or, if f^-1(x) = 0, f(0) = 1/b
f^-1(x) = (1-bx)/(ax)
So, we want 1+bx = 0
x = 1/b
Or, if f^-1(x) = 0, f(0) = 1/b