If x=1
1/3x = 1/3
3x = 3
If x=2
1/3x=2/3
3x=6
If x=3
1/3x=1
3x=9
If x=4
1/3x=1 1/3
3x+12
Answer:
both outputs are x so f(x) and g(x) are inverses of each other
Step-by-step explanation:
They are parallel because they have the same slope
Answer:
x^6 + 2x^3 -2x^2 -8x + 4
Step-by-step explanation:
Okay, so we need to multiply f and g.
Since you said asap, I won't do the long explanation...
x3 -4x 2
x2 x6 -4x2 2x2
2 2x3 -8x 4
x^6 + 2x^3 -2x^2 -8x + 4
Well I don't know.
Let's think about it:
-- There are 6 possibilities for each role.
So 36 possibilities for 2 rolls.
Doesn't take us anywhere.
New direction:
-- If the first roll is odd, then you need another odd on the second one.
-- If the first roll is even, then you need another even on the second one.
This may be the key, right here !
-- The die has 3 odds and 3 evens.
-- Probability of an odd followed by another odd = (1/2) x (1/2) = 1/4
-- Probability of an even followed by another even = (1/2) x (1/2) = 1/4
I'm sure this is it. I'm a little shaky on how to combine those 2 probs.
Ah hah !
Try this:
Probability of either 1 sequence or the other one is (1/4) + (1/4) = 1/2 .
That means ... Regardless of what the first roll is, the probability of
the second roll matching it in oddness or evenness is 1/2 .
So the probability of 2 rolls that sum to an even number is 1/2 = 50% .
Is this reasonable, or sleazy ?