Solving Functions

Question

k

For a number k, g(-----)= 3k - 2

2

Which is equivalent to g(4k) ?

k

g( -----)= 3k-2 , it follows that g(k)= 6k-2 (I am stuck on how this is calculated!!!)

2

I know the answer is 24k-2 (Not my question, but how do I arrive at 6k-2???)

Answer 1

This is a linear equation, g(x) = ax -2. Then if g(k/2) = a(k/2)-2 = 3k-2 --> ak/2 = 3k

Solving for a, a = 6

g(x) = 6x-2

g(k) = 6k-2

g(4k) = 6(4k)-2 = 24k-2