Question

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

Answer choices:

1. ƒ(K) = a
2. ƒ -1(K) = a
3. ƒ -1(a) = K

Answer 1

number 2 is the correct answer

Answer 2

f(a)=k
means
when you input a, in f(x), you get k

lets see
1., this is false, unless f(x)=x which is not always true
2. this is the inverse, this is the sme function but input and output are switched
f(a)=k turns to f⁻¹(k)=a
true

3. this is true only if f(x)=x


2 is the right answer