f(x) = 1/(x - 3) + 7. Find the inverse of f(x) and its domain.
Write
y = 1/ ( x - 3) + 7 get x by itself
y - 7 = 1/ ( x - 3)
x - 3 = 1 / ( y - 7)
x = 1/ ( y - 7) + 3 "swap" x and y
y = 1/ ( x - 7) + 3 = the inverse and x cannot = 7