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
Julli [10]
3 years ago
13

For all values of x, f(x) = 2x-3 and g(x) = x^2 + 1 a) Find fg(x) Simplify and give your answer in the form ax^2 + b b) Find gf(

x).
Mathematics
1 answer:
Inessa [10]3 years ago
6 0

Answer:

fg(x) = 2x² - 1

gf(x) = 4x²-12x +10

Step-by-step explanation:

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

a) f(g(x)) = f(x²+1)

f(x²+1) = 2(x²+1) -3

f(x²+1)= 2x²+2 -3

f(x²+1) = 2x² - 1

fg(x) = 2x² - 1

Hence function fg(x) is 2x² - 1

b) gf(x) = g(2x-3)

g(2x-3) = (2x-3)² + 1

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

g(2x-3) = 4x²-6x-6x+9 + 1

g(2x-3) = 4x²-12x +10

gf(x) = 4x²-12x +10

You might be interested in
Victor has a bag of dimes and quarters. He has a total of 36 coins worth $5.40.
nata0808 [166]

Answer:

{x+y=36

0.1x+0.25y=5.4

Step-by-step explanation:

just took the test sorry for being late

5 0
3 years ago
Read 2 more answers
Which of the following pair(s) of circles have l as a common internal tangent? Select ALL that apply.
kkurt [141]
It looks like only A and B, but could be trick question?
7 0
3 years ago
Read 2 more answers
What are examples of nonstatistical question
posledela

Answer:

The type of questions that has only one answer.

Step-by-step explanation:

example:

What time did Katy wake up? Did you eat lunch?

7 0
2 years ago
Jillian is making accessories for the soccer team. She uses 667.43 inches of fabric on headbands for 27 players and 4 coaches. S
gulaghasi [49]

Answer:

21.53 in of fabric on headbands

7.67 in of fabric on wristbands.

Step-by-step explanation:

Step one:

given data

the total amount of person players plus coaches= 27+4= 31

for each person, she uses = 667.43/31= 21.53 in of fabric on headbands

She also uses 237.87inches of fabric on wristbands for just the players

For each player, she will use= 237.87/31= 7.67 in of fabric

Hence for each player, she used

21.53 in of fabric on headbands

7.67 in of fabric on wristbands

4 0
2 years ago
How many parts are there in the format of s two-column proof? <br> 3<br> 4<br> 5<br> 6
zhuklara [117]

Give me picture i will help you.

8 0
2 years ago
Other questions:
  • Alex drew a scale drawing of an auditorium. He used the scale 3 inches = 2 feet. If the stage is 30 inches in the drawing, how w
    12·1 answer
  • 1-8n-6n&gt;1<br> Solve by simplying into shorter equation
    9·2 answers
  • A function has a constant doubling time. what type of function does this represent?
    9·2 answers
  • In a race, if my time beat your time by 12 fewer seconds than my time beat Pat's time, then your time beat Pat's time by
    10·2 answers
  • Square root of 15-x=-3+Square root of 2x+3<br><br> Solve for x
    11·1 answer
  • Yo whats 2+2 (im doing this for fun ok give me your best dumb answer)
    11·2 answers
  • PLLSSSSS HELP MEEEEE Given the graph below, which of the following are solutions? You many select all that are solutions. (-2, 3
    7·2 answers
  • Ms. Murray has a collection of 25 dimes and nickels. How many nickels does
    15·1 answer
  • Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe
    11·1 answer
  • Solve the system of equations y=5x-1 y=9x-9
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!