Answer:
rarely correct
for f(x) = 6, g(x) = 2; f(g(x)) = 6, g(f(x)) = 2 ≠ f(g(x))
Step-by-step explanation:
The order in which functions operate on each other can rarely be reversed with the same result. If the functions are inverses of each other and both have the same domain as range, then their order can be reversed.
Not so, in most other cases. An example is shown above.
Answer:
a = 2/27
b = 13/27
Step-by-step explanation:
The given polynomial is presented as follows;
f(x) = a·x³ + b·x² + x + 2/3
Given that x + 3 is a factor, we have;
f(-3) = 0 = a·(-3)³ + b·(-3)² - 3 +2/3 = 0
-27·a + 9·b - 3 + 2/3 = 0
-27·a + 9·b = 7/3........(1)
Also we have
(a·x³ + b·x² + x + 2/3) ÷ (x + 2) the remainder = 5
Therefore;
a·(-2)³ + b·(-2)² + (-2) + 2/3 = 5
-8·a + 4·b - 2 + 2/3 = 5
-8·a + 4·b = 2 - 2/3 = 4/3........(2)
Multiplying equation (1) by 4/9 and subtracting it from equation (2), we have;
-8·a + 4·b - 4/9×(-27·a + 9·b) = 4/3 - 4/9 × 7/3
-8·a + 12·a = 8/27
4·a = 8/27
a = 2/27 ≈ 0.0741
imputing the a value in equation (1) gives;
-27×2/27 + 9·b = 7/3
-2 + 9·b = 7/3
9·b = 7/3 + 2 = 13/3
b = 13/27 ≈ 0.481.
Answer:
Answer: w=2 and 2=6
Step-by-step explanation:
If you substitute 6 and 2 in for w they both work, making c the correct answer
Step-by-step explanation:
Answer:
Equation for the problem
3x + 15 = 51 laps
Hence
She swims on
Monday: 12 laps
Wednesday : 12 laps
Friday = 12 laps
Step-by-step explanation:
Ella swims four times a week at her club's pool.
We are told that:
She swims the same number of laps on Monday, Wednesday, and Friday.
Hence, the number rod times that she swims on Monday, Wednesday and Friday is represented by x
Also, she swims 15 laps on Saturday. She swims a total of 51 laps each week. Equation for the problem
= x + x + x + 15 = 51 laps
3x + 15 = 51 laps
Hence
3x = 51 - 15
3x = 36
x = 36/3
x = 12 laps
Therefore, She swims on:
Monday: 12 laps
Wednesday : 12 laps
Friday = 12 laps
Answer:
If you are trying to find slope the answer is 1/2
Step-by-step explanation:
I'm sorry if im wrong but thats if you're trying to find slope if you're not my bad.
