Let f(x) = 2x − 6. solve f−1(x) when x = 2. (1 point) explanation ! algebra 2 makes no sense to me!

If f(a)=b then f⁻¹(b)=a
and if f⁻¹(a)=b then f(b)=a
this is helpful for our problem

alright

the problem is
find f⁻¹(2)
ok
f⁻¹(2)=?
look familiar?
if f⁻¹(2)=? then f(?)=2
easy now

so
solve for x such that f(x)=2
2=2x-6
8=2x
4=x

so te value is 4

f⁻¹(2)=4