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
Vlada [557]
2 years ago
8

Let f(x)=2x+3 and g(x)=x×x-1find a. f(g(x)) b.g(f(x))​

Mathematics
1 answer:
Talja [164]2 years ago
5 0

Answer:

See explanations below

Step-by-step explanation:

Given the functions f(x)=2x+3 and g(x)=x^2-1

a. Find f(g(x))

f(g(x)) = f(x^2-1)

f(g(x)) = 2(x^2-1)+3

f(g(x))= 2x^2-2+3

f(g(x)) = 2x^2+1

Hence the composite function f(g(x)) is 2x^2+1

b) g(f(x)) = g(2x+3)

g(f(x) = (2x+3)^2-1

g(f(x)) = 4x^2+12x+9-1

g(f(x)) = 4x^2+12x+8

You might be interested in
you invest $2800 in an account that pays an interest of 5.5%, compounded continuously. calculate the balance of your account aft
LuckyWell [14K]

Hi, hope this helps you. Have a good day. :)

Answer:

A = $5,417.42 (balance of the account)

I = $2,617.42

5 0
3 years ago
Read 2 more answers
A direct variation function contains the points( -8,-6) and (12,9). Which equation represents the function ?
natulia [17]

Answer:

y = (3/4)x

Step-by-step explanation:

1)  Find the slope of the line.  As we go from ( -8,-6) to (12,9), x increases by 20 and y increases by 15.  Thus, the slope, m, is m = rise / run = 15/20 = 3/4

2) Recognize that the y-intercept is zero (0) because this is direct variation; the line goes thru the origin.

3) write the equation of the line:  y = mx + b becomes y = (3/4)x

6 0
3 years ago
Read 2 more answers
How are liquid assets different from other assets?What is the main difference in the way that "earned income" and "capital gains
BabaBlast [244]

Answer: All assets represent money, but only liquid assets can be easily turned into spendable money.

Earned income is money you received for a job performed and capital gains are profits from investments.

Step-by-step explanation: Because this is the definition of liquid assets: A liquid asset is cash on hand or an asset that can be readily converted to cash. An asset that can readily be converted into cash is similar to cash itself because the asset can be sold with little impact on its value.

-Earned income refers to salary, bonuses, commissions, tips that you receive because of a job that you have done from an employer or your business.

-Capital gains  refer to money that you receive because of the sale of a capital asset like stocks or real estate.

7 0
3 years ago
A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims
dedylja [7]

Answer:

The correct solution is "0.127128".

Step-by-step explanation:

The given values are:

p = 0.31

n = 20

Now,

p(8

                     =20C_{9}(0.31)^9\times (0.69)^{11}+20C_{10}(0.31)^{10}\times (0.69)^{10}+20C_{11}\times (0.31)^{11}\times (0.69)^{9}

=0.074955+0.037043+0.015130

=0.127128

5 0
3 years ago
What is the ratio 75 centimeters to 3 meters
sergey [27]
75:3 is equivalent to 25:1 or just 25
3 0
3 years ago
Other questions:
  • What is the value of the 8 in this number...1,284,590?​
    10·1 answer
  • find the slope-intercept form of the line whose slope is 6 and that passes through the point (-2, 12)find the slope-intercept fo
    11·1 answer
  • Solve for x if the Perimeter = 26<br> 14-2x<br> 2x + 1<br> 3x - 1
    10·1 answer
  • Are the two triangles congruent
    9·1 answer
  • Give the coordinates of the point obtained from each reflection. (a) Reflect the point (-3, 7) across the y-axis: 00 (b) Reflect
    7·1 answer
  • Find the Area of the Shaded Region.
    6·1 answer
  • Please Help!!<br> It's urgent :)
    5·2 answers
  • The table shows the relationship between r and s, where s is the independent variable.
    13·1 answer
  • From a random sample of 185 children from school G, 108 indicated they wanted to study science in college. From a different rand
    12·1 answer
  • Fill in the blanks with the answer to each question based on information provided.Two toy robots are having a race. Robot A can
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!