Answer:
1. 20
2. 23
3. 6
Step-by-step explanation:
We have that:
f(x) = 2x
g(x) = x² + 1
f(g(x)) is the composite function of f and g. So
f(g(x)) = f(x²-1) = 2(x²+1) = 2x² + 2
1. f(g(3))
f(g(x)) = 2x² - 2 = 2(3)² + 2 = 18 + 2 = 20
2. f(3)+g(4)
f(3) = 2(3) = 6
g(4) = 4² + 1 = 17
f(3) + g(4) = 6 + 17 = 23
3. f(5) - 2g(1)
f(5) = 2(5) = 10
g(1) = (1)² + 1 = 2
f(5) - 2g(1) = 10 - 2*2 = 10 - 4 = 6
Answer:
Since there are already 2 angles shown, which are 48 and 90 (indicated by the square in the bigger triangle, we can set up an equation.
48 + 90 + y = 180
138 + y = 180
-138 + 138 + y = 180 - 138
y = 42°
Answer:
a(8a-1)(3a+5)
Step-by-step explanation:
24a³ + 37a² – 5a =
a ( 24a²+ 37a -5) =
a( 24a² +40a -3a -5) =
a [8a(3a+5) -1(3a+5) ]=
a(8a-1)(3a+5)
The area is the sum of 'n' rectangle areas.
The width of the rectangle is size of interval, (domain size)/n
The height of each rectangle is f(interval) as interval moves along domain.
For this example, domain size = 3-1 = 2
size of interval = 2/n
height varies from f(1) to f(3), increasing by 2/n each time.
f(1+(2/n)i)
Putting this together, the area is the sum of:

Since you are given the function f(x). Sub input into f(x) to get area in terms of n and i.

Finally, the summation is:
Answer:
the answer is 55
Step-by-step explanation:
x + x + 90 = 180
2x + 90 = 180
2x = 180- 90 = 110
x = 110 ÷ 2 = 55