Ok, a fun hack
if f⁻¹(a)=b then f(b)=a
so if f⁻¹(7)=b then f(b)=7
to find b, find x such that f(x)=7
7=0.5(3)^x
times both sides by 2 (or divide both sides by 0.5)
14=3^x
take log₃ of both sides

Answer:
Yes
Step-by-step explanation:
Answer:
x=60
Step-by-step explanation:
First get x all alone on 1 side of the equation. Add 14.5 to both sides of the equation to cancel out the negative. You will then be left with
x/5= 12
Multiply both sides of the equation by 5 to cancel out the division and you'll get x=60
Since all these lines are tangents: the unknown length along BC is also equal to 3.3 units. The first segment from C going towards D is also 5.1, meaning that the segment on CD closer to D is 7 units. This is the same length of the first segment from D going towards A, meaning that the segment on DA that is nearest A is 5.2 units long, which is also the length of the unknown segment along AB.
Therefore the perimeter is: 12.2 + 12.1 + 5.1 + 3.3 + 3.3 + 5.2 = 41.2 units