Consider functions f and g. f(x) = 8/x+2 g(x) = 4x^2 + 2 Evaluate the function composition. (f ° g)(-1)= _____
Answer: 1
Step-by-step explanation: you plug in -1 as x for g(x) and you use the answer from that (which is 6) and plug that into f(x)
The value of composite function (fog)(-1) = 10/3.
What is composite function?A function whose values are obtained from two given functions by first applying one to an independent variable and then using the result to apply the second, and whose domain is made up of those independent variable values for which the first function's result falls within the second function's domain.
The two functions are given below:
f(x) = 8/x+2
g(x) = 4x² + 2
To evaluate the composite value (fog)(-1), first solve for g(-1).
Put x = -1 in 'g' function
g(x) = 4x² + 2
g(x) = 4(-1)² + 2
= 4 + 2
g(x) = 6
Now, substitute the value of g(6) in 'f' function
f(x) = 8/x+2
f(6) = 8/6 + 2
= 10/6
Therefore, the composite value (fog)(-1) = 10/3.
To know practical use of composite function, here
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HELP PLS!!!!
Al, Barb, and Calvin shared a large pepperoni pizza after school. Al ate 1/3 of the pizza, Barb ate 1/4 of the pizza. and Calvin ate the rest. What is the ratio of Al's share of the pizza, to Barb's share, to Calvin's share?
a. 4:3:5
b. 3:4:7
c. 5:4:3
d. 3:4:5
e. 4:5:7
Answer:
A. 4:3:5
Step-by-step explanation:
Al ate 1/3, which is 4/12. Barb ate 1/4, which is 3/12. That leaves 5/12 for Calvin to eat.
WILL GIVE BRAINLIEST ANSWER!!
How are the steps for graphing a line
using slope-intercept similar to using
point-slope? How are they different?
Answer:
they both use y^2-y^1 and x^2 - x^1, one is to find the slope the other is to find the y intercept
Step-by-step explanation:
Slope-intercept is when you have a graph and a equation such as y=mx+b
y = y coordinate
m = slope
x = x coordinate
b = y intercept
point-Slope is when you have this equation and you use (x1, y1) as the coordinates to graph.
y - y1 = m * (x - x1)
Hank has a large bag of trail mix that weighs 9.0 pounds. He uses the mix in the large bag to make bags each containing 0.6 pound of mix.
How many bags containing 0.6 pound can be made?
Answer:
15 is the answer
Step-by-step explanation: 9.0 divided by 0.6 = 15. Hope this help!!!
help me pleassssseeeeeeeeeeeeeeee
help ILL GIVE BRAINLIEST
Answer:
50.24
Step-by-step explanation:
equation A=pi R^2
r^2 = 4^2 = 16
16*3.14 = 50.24
Answer: 50.24
Step-by-step explanation:
What integer values satisfy both inequalities?
-3<x<2
-2 ≤ x ≤ 2
Answer:
- 2, - 1, 0, 1
Step-by-step explanation:
Consider the integers that satisfy each inequality
- 3 < x < 2
solutions are x = - 2, - 1, 0, 1
- 2 ≤ x ≤ 2
solutions are x = - 2, - 1, 0, 1, 2
Thus the integer values that satisfy both are common to both, that is
x = - 2, - 1, 0, 1
Given right triangle PQR which represents the value of sin p
Answer:
RQ/PQ
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
its right
please answer this quickly
Answer:
its C
Step-by-step explanation:
Answer:
The equation is: 5(x+9) = 55
This basically means that five times the quantity x+9 is equal to 55.
Let me know if this helps!
Someone help and please make sure the answer is right! :)
Answer:
84
Step-by-step explanation:
180-51-45=84
I think this would be the answer since triangles add up to be 84 and we are just finding the last missing angle.
hope this helps :)
Answer:
the answer is c - 84
Step-by-step explanation:
every triangle adds up to 180, so if you subtract 51 and 45 from 180, you will get 84
i hope this helps, have a great day :)
A circle is centered at the origin and contains the point (-4,-2). What is the length of the radius of the circle?
0 V6
0 20
20
O 12
Answer:
0 20
Step-by-step explanation:
x2 + y2 = r2 , and this is the equation of a circle of radius r whose centre is the origin O(0, 0). The equation of a circle of radius r and centre the origin is x2 + y2 = r2 .
plssss helppppppppp 333333333333
please help me !!!! I will mark brainliest
Answer:
Step-by-step explanation:
Answer:
Its the last one
Step-by-step explanation:
Your Welcome!
What is the distance, in units, between the points (2, 3) and (2, -6) ?
Answer:
To find the distance between any two points, you can use the distance formula. However, the two ordered pairs have the same "x-coordinate" so all we really have to find is the distance of the y coordinates.
To get from 3 to -6, we have to move 3+6, or 9 units.
So, the answer would be 9 units.
Let me know if this helps!
Help! f(x)=2x+3 g(x)=3x+2
Answer:
5x + 5
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 2x + 3 + 3x + 2 ← collect like terms
= 5x + 5
Answer:
Step-by-step explanation:
(f+g)(x)=f(x)+g(x)
(f+g)(x)=2x+3+3x+2
(f+g)(x)=5x+5
It looks like they want you to type just
5x+5
What is the density of a sample with a mass of 5250g and a volume of 4.5mL?
Step-by-step explanation:
Density=5250/4.5=1166.66 g/ml
Find X
Pls help i have a quiz
What is the transformation shown?
Answer:
Translation 5 units left, 1 unit up
Step-by-step explanation:
the blue is the main shape
Answer: Translation 5 units up and 1 unit down
What is the ratio of apples to bananas
evaluate above. can someone tell me the answer and how to do it?
Answer:
(31y² + 3y + 12) / 6y
Step-by-step explanation:
See photo below.
Feel free to ask any questions! :)
A water tank initially contained 105 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute. How many liters of water are in the tank after 109 seconds? Round answers the nearest whole liter.
Answer:
Convert 300 L in 15 seconds to L/min a. ... 10) How many kilograms of water are in a standpipe containing 5678 L? a. ... tank volume if a pump is discharging a constant 60 litres per minute into the tank
Carl spent $140 in six days. He spent $20 on the first day. He spent the same amount of money during the next five days Write an equation
plz help me
Answer:
answer: he spent $120
Step-by-step explanation:
20×5=100
100+ the initial $20 spent = $120
Anybody want to do zoom ???
Although many factors combine to influence weather, the four main ones are solar radiation, the amount of which changes with Earth's tilt, orbital distance from the sun and latitude, temperature, air pressure and the abundance of water.
Answer:
ID? psw?
Step-by-step explanation:
please I need someone to help my assignment
Answer:
1) 20: 25
2) 15: 3
Step-by-step explanation:
Identify the initial amount a and the growth or decay factor b in the exponential function.
y = 0.01025x
A. a = 100, b = 1.025
B. a = 1, b = 0.01025
C. a = x, b = y
D. a = 0.01025, b = 1
Answer:
D. [tex]a = 0.01025[/tex], [tex]b = 1[/tex]
Step-by-step explanation:
Mathematically speaking, an exponential function is a trascendental function of the form:
[tex]y = a^{b\cdot x}[/tex] (1)
Where:
[tex]a[/tex] - Initial amount.
[tex]b[/tex] - Growth factor.
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
Let [tex]y = 0.01025^{x}[/tex], by direct comparison we find that values for initial amount and growth factor are, respectively:
[tex]a = 0.01025[/tex], [tex]b = 1[/tex]
Therefore, correct answer is D.
This is adding linear equations:
1. (–6x + 3) + (5x – 4)
2. (–2x + 10) + (–8x – 1)
3. (–4x + 6) + (x – 5)
4. (1.3x + 2.4) + ( –6.1x – 3.2)
5. (0.5x – 0.6) + (0.75x – 0.1)
6. (–7x – 14) + (x – 6)
7. (9x + 7) + (x + 3)
8. (4x – 1) + (–5x + 17)
I honestly just need help, so you can just do one of any problem on here, then I'd just need it to be explained and answered so that I understand
5 cm
4 cm
5 cm
5 cm
190 square cm
170 square cm
150 square cm
160 square cm
Answer:
what? do you want them to be added?
What is the correct height of the triangle ??
Answer:
9 units
Step-by-step explanation:
The dotted line, which is the height, is labeled as 9, so it is 9 units.
Hope that helps!
Answer: 9 units
Step-by-step explanation: If you look at the question on the photo you see a dotted line with a 9 on it. On a triangle when you something like that you know it the actual height of the triangle
Can someone help me Asap
Which is the best rational approximation for the square root of 55 ?
A: 7.5
B: 5.5
C: 11.0
D: 27.5
Answer:
The best rational approximation for the square root of 55 is 7.5.
Let me know if this helps!