Answer:
f(x) * g(x) is 8x^2 + 8x -6
f(x) - g(x) is -2x + 5
Explanation:
When finding the answer, we can notice they already give the values for the needed answers.
The first one requires f(x) and g(x). At the beginning of the question it shows that f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).
The same goes for g(x). At the begginning of the question, it shows that g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).
f(x) * g(x)
(2x+3) * (4x-2)
To find the answer, we need to distibute the 2x+3 into 4x-2.
To distribute, we do :
2x * (4x-2) + 3 * (4x-2)
First we distribute the 2x
2x * 4x = 8x^2 and 2x * -2 = -4x
8x^2 - 4x
Next we distibute the 3
3 * 4x = 12x and 3 * -2 = -6
12x - 6
Now we can combine them by adding like terms to get the asnwer:
8x^2 = 8x^2
-4x + 12x = 8x
-6 = -6
The first answer is 8x^2 + 8x -6
Second question:
Since we already know the values for f(x) and g(x), all we have to do is plug in the values.
(2x+3) - (4x-2)
This time, since we are subtracting, all we have to do is subtract like terms.
2x - 4x = -2x
3 - (-2) = 5
The second answer is -2x + 5