Question

Find the answer:
f(k-8) = 1/2(k-8)-4​

Answer 1

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)