y= 2(4)^x should be your answer.
Answer:
f(x) = 1/2x
Step-by-step explanation:
When x = -4 the output is -2
We are dividing by 2
When x = -2 the output is -1
f(x) = 1/2 x
Check when x = 2
f(2) = 1/2 (2) =1
Answer:
1/6
Step-by-step explanation:
As the purple die has already rolled and the number landed is 6, to find the probability of the sum of the dice being 7, there is only one option for the yellow die:
purple result + yellow result = 7
6 + yellow result = 7
yellow result = 1
So the yellow die needs to roll a 1, over a total of 6 possibilities, so the probability is 1/6
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>

Plug the equation
into the above equation

Subtract both sides by 7

Divide both sides by 3 to isolate x

Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>

Plug in x as 12

Subtract both sides by 12 to isolate y

Therefore, the greater number equates to 31.
I hope this helps!
Answer:
Option B is correct
Step-by-step explanation:
We need to find g(h(f(x))
We first find h(f(x))
f(x) = x-3/x
Putting value of f(x) in place of x in h(x)
h(x) = 2x+1
h(f(x)) = 2(x-3/x) + 1
= 2(x-3/x) + 1
= 2x -6 /x +1
= 2x-6 +x/x
= 3x-6/x
Now, putting value of h(f(x)) in g(x)
g(x) = x+3
g(h(f(x)))= (3x-6/x) + 3
= 3x-6/x + 3
= 3x-6+3x/x
= 6x-6/x
So, Option B is correct.