Question

If a function f has an inverse and f(-3) = 6, then f⁻¹ (6) =

Answer 1

f(-3) = 6 implies that f⁻¹ (6) = -3, as inverse functions reverse each other's actions.

Step-by-step explanation:

If a function f has an inverse and f(-3) = 6, then f⁻¹ (6) would equal -3. This is based on the fundamental property of inverse functions that states they reverse each other's actions. For a function and its inverse, if you input a number into the original function and get a result, putting that result back into the inverse function will give you the original number. Therefore, because f(-3) gives us 6, then performing the inverse operation with 6 should return -3.