Answer: option d.
Step-by-step explanation:
To solve this problem you must keep on mind the properties of logarithms:

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

Then, the answer is the option d.
A
f(x) = 2x + 1
f(3) = 2*3 + 1 = 7
B
g(x) = x^2
g(7) = 7^2
g(7)= 49
C
f(g(x)) = 2(g(x) + 1
f(g(x)) = 2 x^2 + 1
f(g(3) = 2* 3^2 + 1
f(g(3) = 19
D
g(f(x)) = (f(x))^2
g(f(x)) = (2x + 1)^2
g(f(3)) = (2*3 + 1)^2 = (6 + 1)^2 = 49
E
f(g(x)) = 2*g(x) + 1
f(g(x)) = 2*x^2 + 1
f(g(3)) = 2*3^2 + 1
f(g(3)) = 2 * 9 + 1
f(g(3)) = 18 + 1
f(g(3) = 19
F
f(g(x)) = 2(g(x)) + 1
f(g(x)) = 2*x^2 + 1
Answer:
only Rodger
Step-by-step explanation:
Roger:
38*6=228
80+(20*6)=200
He will save 28 dollars with the membership
Grace:
38*4=152
80+(20*4)=160
Grace will pay 8 dollars more with the membership
Answer:
∠DOE = 16°
Step-by-step explanation:
The given parameters are;
∠BOF = 120°
∠AOB = 2×∠AOC
Given
∠AOC = 2×∠AOD
Given
∠AOD = 2×∠AOE
Given
∠AOE = 2×∠AOF
Given
Therefore;
∠AOB = 16×∠AOF
Angle addition postulate
∠BOF = ∠AOB - ∠AOF = 16×∠AOF - ∠AOF = 15×∠AOF
Transitive property
15×∠AOF = 120°
∠AOF = 120°/15 = 8°
Given that OE bisects ∠AOD, we have;
∠AOE ≅ ∠DOE
Angles bisected by a line
From;
∠AOE = 2×∠AOF, we have;
Given
Therefore;
∠AOE = ∠DOE = 2×∠AOF = 2×8° = 16°
∠DOE = 16°.
Part A...Y=9, Part B, m=54 degrees