Answer:
216
Step-by-step explanation:
Cube A volume
3*3*3=27
Cube B volume
6*6*6=216
First one d second c and third one a
The answer for the function F(4) = 5/81
<u>Step-by-step explanation</u>:
The given function is F(x) = 5 * (1/3) ^ x
<u>step 1</u> :
The x value is given as the input to get the output from F(x)
<u>step 2</u> :
Here, F(4) means that the x value is x=4
<u>step 3</u> :
Now, substitute x=4 in the given function F(x)
F(4) = 5 (1/3)^4
=5 (1/81)
F(4) = 5/81
In order to solve this problem you will have to find function notation.
Step 1: Find the function notation of f(3).
Make sure to sub everything that has a x in for 3. f(3)=2(3)+1
Step 2: Solve for this function notation.
f(3)=6+1
f(3)=7 *this is the function notation of f(3)
Step 3: Now you will need to sub in the answer for f(3) in for g(f(3)).
You'll have; g(7)
Step 4: Now you need to solve this function notation using 7 to sub in for anything that has a (x).
g(7)=(3x-1)÷2
Step 5: Now just the problem above.
*Make sure to follow rules of PEMDAS
g(7)=(3×7-1)÷2
g(7)=(21-1)÷2
g(7)=(20)÷2
g(7)=20÷2
g(7)= 10
Step 6: **REMEMBER TO PUT YOUR ANSWER BACK INTO THE FUNCTION NOTATION OF WHAT THEY ARE LOOKING FOR**
In this case we are looking for g(f(3))
So, g(f(3))= 10
