Answer:
f = (k - 16) / (2k - 16)
k = (16f - 16) / (2f - 1)
Explanation:
f(k-8) = 1/2(k-8)-4
Solve for f:
Divide both sides by (k-8)
f = (k - 16) / (2k - 16)
Solve for k:
Subtract 1/2 * k from both sides.
fk - 8f - (1/2)k = -8
Add 8f to both sides.
fk - 1/2*k = k * (2f - 1)/2 = 8f -8
Divide both sides by (2f - 1)/2
k = (16f - 16) / (2f - 1)