Answer
(f ο g)(2)= 1/17 =0.058 and (f+g)(2)= 17.5
Step-by-step explanation:
f(x)=1/x ; f(2)=1/2
g(x)=4x+9 ; g(2)=4(2)+9
As,
1. (f ο g)(x)=f(g(x)) (Composite Function)
(f ο g)(2)=f(g(2))=f(4(2)+9)=f(8+9)=f(17)=1/17
=0.058 (in decimal)
2. (f+g)(x)= f(x)+g(x) (Sum of Functions)
(f+g)(2)=f(2)+g(2)=1/2 +(4(2)+9)=1/2+(8+9)=1/2+17 (taking L.C.M)
=[1+17(2)]/2=(1+34)/2=35/2
=17.5 (in decimal)
Answer:
angle 2 = 90° {corresponding angles}
angle 7 + angle 5 = 180° {linear pair}
or, angle 7 + 100° = 180° {angle 5 is corresponding to 100°}
so, angle 7 = 80°
Answer:
$0.22/inch
Step-by-step explanation:
6 ft = 72 inches
15.84/72 =0.22
Answer:
40,320
Step-by-step explanation:
The number of ways she can arrange the musical seletions is as follows
n! ( where n is given as 8) = 8! = 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1 = 40,320
Answer: The required probability is 0.615.
Step-by-step explanation:
Let A be the event that a product receives good reviews.
Let E₁ be the event that the product is highly successful.
Let E₂ be the event that the product is moderately successful.
Let E₃ be the event that the product is poor.

(a) What is the probability that a product attains a good review.
So, it becomes,

Hence, the required probability is 0.615.