If f (a) = K, then which of the following must be true? f (K) = a f - 1 (K) = a f - 1 (a) = K

Question

Mathematics

Mariela Wong

8 November, 12:36

If f (a) = K, then which of the following must be true? f (K) = a f - 1 (K) = a f - 1 (a) = K

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Hadassah Page · Answer 1

Step-by-step explanation:

given that f (a) = K

we have the options of

f (K) = a

f ⁻¹ (K) = a

f ⁻¹ (a) = K

Where f ⁻¹ denotes an inverse function.

If f (a) = K, then its reciprocate, f ⁻¹ (K) = a

because it is essentially undoing the original equation