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This problem trains for: SAT-I, SAT-II, GMAT, AMC-10.

If a linear function is translated left by 2 units, the inverse of the translated function is obtained from the inverse of the initial function by:

Take a generic linear function:

equation

invert it:

equation

equation

Let g be the translated function:

equation

and its inverse:

equation

equation

The inverses of the initial and the translated functions satisfy:

equation

This shows that the inverse of the translated function is a shift down by 2 units of the inverse of the initial function.