1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
brilliants [131]
3 years ago
11

Given: f(x) = x + 2 and g(x) = x2 +3, find the following:

Mathematics
1 answer:
Mkey [24]3 years ago
8 0

Answer:

  28) -1

  29) 9

  30) x^2+4x+7

  31) x-2

Step-by-step explanation:

<u>Given</u>:

  f(x) = x + 2

  g(x) = x^2 +3

<u>Find</u>:

  28) f(-3)

  29) f(g(2))

  30) g(f(x))

  31) f-1(x)

<u>Solution</u>:

Put the function argument values into the expression and do the arithmetic.

28) f(-3) = (-3) +2 = -1

__

29) f(g(2)) = f((2)^2 +3) = f(7) = (7) +2 = 9

__

30) g(f(x)) = g(x+2) = (x+2)^2 +3 = x^2 +4x +7

__

31) The meaning of y = f^-1(x) is x = f(y).

  x = f(y) = y+2

  y = x -2

  f^-1(x) = x -2

You might be interested in
What is equity and liquidity?<br> (This subject is personal financing but I couldn't find it.)
Naily [24]
Liquidity describes the degree to which an asset or security can be quickly bought or sold in the market without effecting the assets prices, while equity is the value of the shares issued by a company. 
8 0
3 years ago
Simplifying by adding, subtracting, multiplying, or dividing: (2/3)-(2/5)
Volgvan
The answer is 4/15 or .26 with the 6 repeating forever.
Explanation: Least common multiple of 3 and 5 is 15. 2*5=10, 2*3=6. 10/15-6/15=4/15.
8 0
3 years ago
How to solve 488x6 ?
Tema [17]

Answer:1928

Step-by-step explanation:488* 6

I used lattice

8 0
3 years ago
What is the answer and how do you find it?
Grace [21]
<span>According to the Exterior Angle Theorem, the</span> measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
11x+2=5x+10 + 58
6x=66
x=11
3 0
2 years ago
A. The lengths of pregnancies in a small rural village are normally distributed with a mean of 266 days and a standard deviation
Darya [45]

Step-by-step explanation:

a.

mean = 266

sd = 14

cumulative probability = 0.01 so the standard score = -2.33 and 2.33 to the right and left

we find X-upper and X-lower

X-lower = 266-2.33*14 = 233.38

X-upper = 266+2.33*14 = 298.62

Between 233.38 and 298.62

we have sample size = 35

X-lower = 266-2.33*14/√35 = 260.49

X-upper = 266+2.33*14/√35 = 271.5

Between 260.49 and 271.5

b. cumulative probaility = 0.25

standard score = 1.96 to the right and left

x-lower = 6.9-1.96x0.9 = 5.14

x-upper = 6.9+1.96x0.9 = 8.66

Between 5.14 and 8.66

if sample size = 45

x-lower = 6.9-1.96*0.9/√45 = 6.64

x-upper = 6.9+1.96*0.9/√45 = 7.2

Between 6.64 and 7.2

c. standard scores would have cut off value at 0.67 and -0,67

x-lower = 265.3-0.67x15.2 = 255.12

x-upper = 265.3+0.67x15.2 = 275.48

Between 255.12 and 275.48

d. we will have critical values at 1.00 and -1.00

X-lower = 265-1x16 = 249

x-upper = 265+1x16 = 281

Between 249 and 281

with sample size = 44

x-lower = 265-1x16/√44 = 262.59

x-upper = 265+1x16/√44 = 267.41

Between 262.59 and 267.41

3 0
2 years ago
Other questions:
  • The mean of a set of five test scores is m. what is the sum of the five test scores?
    14·1 answer
  • Find the cosine of angle Y
    14·2 answers
  • So this is not a regular question all i ask is if u guys know any apps that are 100 percent free to remove any viruses on your p
    15·1 answer
  • ASAP what is the 8th term in the following sequence <br><br> • 48<br> • 58<br> • 63<br> • 73
    15·2 answers
  • Mika and her two best friends are all dressing up as superheroes for Halloween this year. Their costumes are almost ready, but e
    13·1 answer
  • Find the measure of each exterior angle of the regular polygon.
    8·2 answers
  • Find m in this screenshot
    9·1 answer
  • A square picture frame has an area of 169 cm². Find the length, in cm, of the picture frame. ​
    8·1 answer
  • 2(4w-1)=-10(w-3)+4 help
    9·2 answers
  • 50 people sponsor Paula and she raises a total of $180.65 for charity. 28 people sponsor Kate and she raises a total of $135.60
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!