Answer: The value of 
is 
.
Step-by-step explanation:
Given: 
To find:
As we know it is composition function which means that g(x) function is in f(x) function.
So we have
![(f_\circ g) (x) = f[g(x)]](https://tex.z-dn.net/?f=%28f_%5Ccirc%20g%29%20%28x%29%20%3D%20%20f%5Bg%28x%29%5D)
Now substitute the value of g(x) we get
Hence, the value of is .
Answer:
27√39
Step-by-step explanation:
To calculate the geometric mean we need to first of all multiply 24 and 32 and take the square root of it (i.e. 24*32 is 768, √768 is 27.712.....). However, in this case, we need to represent the answer in a simplified surd. To do this we need to find the highest possible perfect square that is below 768. Here it is 27 because 27*27 equals 729. Now we can go ahead and subtract 768 by 729. We get 39. So now we got two different surds. √729 and √39. We can simplify the √729 to 27. Thus our answer is the combination of both 27*√39 or 27√39.
Answer:
B
Step-by-step explanation:
Using the expansion
tan(x - y) = 
, then
tan(x - 
)
= 
note that tan( -) = - tan() = - 
= 
= 
→ B
Answer:
Cost of five blouses = $145
Step-by-step explanation:
Let
x = cost of blouse
y = cost of skirt
15x + 2y = 505 (1)
5x + 2y = 215 (2)
Subtract (2) from (1) to eliminate y
15x - 5x = 505 - 215
10x = 290
x = 290/10
x = 29
Substitute x = 29 into (2)
5x + 2y = 215 (2)
5(29) + 2y = 215
145 + 2y = 215
2y = 215 - 145
2y = 70
y = 70/2
y = 35
x = cost of blouse = $29
y = cost of skirt = $35
How much do 5 such blouses cost?
cost of a blouse = $29
Cost of five blouses = $29 × 5
= $145
Cost of five blouses = $145
