Solving Functions

Question

QUESTION IN BOLD LETTERS,NOT LOOKING FOR ANSWER

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

k / 2 is the input.

function g takes k / 2 and outputs 3k

this is done by multiplying by 6

g(k / 2) = 6(k / 2) - 2

g(k / 2) = 3k - 2, so

g(k) = 6k - 2

To confirm

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

g(4k) = 24k - 2