Answer:
12 and 13
Step-by-step explanation:
(a)
To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)
g(2) = 2(2) - 1 = 4 - 1 = 3, then
f(3) = 3² + 3 = 9 + 3 = 12
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(b)
To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)
f(2) = 2² + 3 = 4 + 3 = 7, then
g(7) = 2(7) - 1 = 14 - 1 = 13
Answer:
constant of variation = 1.2
Explanation:
y varies directly with x means that as x increases, y increases and vice versa.
This can be translated into the following equation:
y = kx
where k is the constant of pvariation.
We are given that:
y = 12 when x = 10.
Therefore, we will substitute with these values in the above equation and solve for k as follows:
y = kx
12 = k * 10
k = 12 / 10
k = 1.2
This means that the equation relating x and y is:
y = 1.2x
where 1.2 is the constant of variation.
Hope this helps :)
Answer:
50.24 ÷ number of people
Step-by-step explanation:
When you divide the total cost by the number of people there are, you will get the amount of money each person paid. Hope this helps!
She used 1/6 of 1/7 yds....." of " means multiply
1/6 * 1/7 = 1/42 yds <==
Answer:
- d(f(x))(g(x)) = x3 – 2x2 – 4x + 8; all real numbers
Step-by-step explanation:
- (f(x))(g(x)) =
- (x²- 4)*(x-2) =x³ - 2x² - 4x + 8
<u>Choice d. is correct </u>
- a.(f(x))(g(x)) = x + 2; x ≠ 2
- incorrect
- b.(f(x))(g(x)) = x + 2; all real numbers
- incorrect
- c.(f(x))(g(x)) = x3 – 2x2 – 4x + 8; x ≠ 2
- incorrect
- d(f(x))(g(x)) = x3 – 2x2 – 4x + 8; all real numbers
- correct
