Only injective (one-to-one) functions have inverse functions. Determine if f(x)=12x−2 is injective (one-to-one) to find its inverse function.
Injective (One-to-One)Replace f(x) with y.y=12x−2Interchange the variables.x=12y−2Solve for y.y=2x+4Solve for y and replace with f−1(x)