Answer:
x = 10
Step-by-step explanation:

Answer:
- (fog)(3) = f(g(3)) = f(12) = 60
Step-by-step explanation:
Given
Finding (fog)(x)
(fog)(x) = f(g(x))
(fog)(x) = f(x+9)
(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)
(fog)(x) = 5x+45
Finding (gof)(x)
(gof)(x) = g(f(x))
(gof)(x) = g(5x)
(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)
Finding (fog)(3)
(fog)(3) = f(g(3))
substitute x = 3 in the g(x)=x+9
g(x) = x+9
g(3) = 3+9
g(3) = 12
so
(fog)(3) = f(g(3)) = f(12)
now substitute x = 12 in f(x) = 5x
f(x) = 5x
f(12) = 5(12)
f(12) = 60
Thus,
(fog)(3) = f(g(3)) = f(12) = 60
Hey There!
Vertical line graphs never represent a function.
Due to this rule, we could eliminate all of the answer choices as it is suggesting the graph is a function.
The only choice which does not suggest the graph is a function is D, is D, if we look further into the answer choice we also see that it displays correct information.
Therefore, the correct answer would only be D.
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Answer: The area is 221.558, with the explanation below.
Step-by-step explanation: The area of a circle is solved by the equation
π x r². You are given the diameter of 16.8, and the radius is half of it, so the radius = 16.8/2 = 8.4
Next, you need to plug your numbers into the equation:
Area = 3.14 x 8.4²
Area = 3.14 x 70.56
Area = 221.558