Question

F(x)=3x-8

--------
6x

Find and simplify

f(3)-f(1)
------------
3-1

I have no idea what this question is, any ideas?

Answer 1

What this is asking is for you to plug values into the following function:
`f(x)=(3x-8)/(6x)`

Since the question is asking you to find
`f(3)-f(1)`, this is how you work it out:
You take the function;

`f(x)=(3x-8)/(6x)`
And plug the numbers indicated in for x;

`f(x)=(3x-8)/(6x)\\ f(3)=(3(3)-8)/(6(3))\\ f(3)=(9-8)/(18)\\ f(3)=(1)/(18)\\\\ f(1)=(3(1)-8)/(6(1))\\ f(1)=(3-8)/(6)\\ f(1)=(-5)/(6)\\\\ Now\ what\ you\ do\ is\ you\ subract\ f(3)\ and\ f(1).\\ f(3)-f(1)\\ f(3)-f(1)=(1)/(18)-(-5)/(6)\\ f(3)-f(1)=(1)/(18)-(-15)/(18)\\ f(3)-f(1)=(1+15)/(18)\\ f(3)-f(1)=(16)/(18)=(8)/(9)`
So the answer to f(3) - f(1) =
`(8)/(9)`