Answer:
(f o g)(x) =
Domain : (-∞, -3) ∪ (-3, ∞)
Step-by-step explanation:
Given : f(x) =
g(x) = 4x + 17
We have to find the value of (f o g)(x).
Since (f o g)(x) = f[g(x)]
=
=
For the Domain of the function (f o g)(x),
Given function is defined for (4x + 12) ≠ 0
4x ≠ -12
x ≠ -3
Therefore, Domain of the function will be : (-∞, -3) ∪ (-3, ∞)
Answer:
The area inside the running track is 248.5 m².
Step-by-step explanation:
The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:
Where:
x: is one side of the rectangle = 30 m
r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m
Hence, the total area is:
Therefore, the area inside the running track is 248.5 m².
I hope it helps you!
Answer:
Step-by-step explanation:
The angle measure of a straight line is (180) degrees As given in the picture, line (AC) is a straight line, thus its angle measure is (180) degrees. Angles (ABD) and (DBC) make up line (AC). Therefore, one can conclude that the sum of angles (ABD) and (DBC) is (180) degrees. Form an equation, simplify and use inverse operations to solve for the unknown parameter (q).
Substitute for the angle measures,
Simplify,
Inverse operations,