Answer:
The correct answer is option C
(f o g)(x) = 3x² + 7x + 2
Step-by-step explanation:
<u>Points to remember</u>
<u>Composite functions</u>
Let f(x) and g(x) be the two functions then (f o g)(x) can be written as
(f o g)(x) = f(g(x))
<u>To find the value of (f o g)(x)</u>
Here f(x) =x + 2 and g(x) = 3x² + 7x
(f o g)(x) = f(g(x))
= f(3x² + 7x)
= 3x² + 7x + 2
Therefore the correct answer is option C
(f o g)(x) = 3x² + 7x + 2
Answer:
636.4 in³
Step-by-step explanation:
Volume of a cone is given by:
where r is the radius of the base of the cone and h is its height.
It is given that, the radius of the base of the cone is, r = 8 in
The height of the cone is, h = 9.5
Thus, the volume of the cone is 636.4 in³
Answer:
(-4, 7)
Step-by-step explanation:
It would be the exact opposite of point R because it was rotated about 180 degrees from it's original location
JKM = M + L
15x - 48 = 40 + 5x + 12
10x - 48 = 52
10x = 100
x = 10
JKM = 15(10) - 48 = 102
180 = JKM + MKL
180 = 102 + MKL
MKL = 180 - 102 = 78