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
dezoksy [38]
3 years ago
7

If f(x) = 3x^2 -2x-1 and g(x) = x^2 find (gof) (x)

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Substitute x = f(x) into g(x), that is

g(f(x))

= g(3x² - 2x - 1)

= (3x² - 2x - 1)² = (3x² - 2x - 1)(3x² - 2x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

3x²(3x² - 2x - 1) - 2x(3x² - 2x - 1) - 1(3x² - 2x - 1) ← distribute parenthesis

= 9x^{4} - 6x³ - 3x² - 6x³ + 4x² + 2x - 3x² + 2x + 1 ← collect like terms

= 9x^{4} - 12x³ - 2x² + 4x + 1 → A

You might be interested in
If the product of x^2a-1/y^3b+4 and x^7b-4/y^10-a is x^24/y^19 find the value of a and b
lidiya [134]

Answer:

a = 4; b = 3

Step-by-step explanation:

For the question to make any sense, we need to add parentheses.

... x^(2a-1)/y^(3b+4) × x^(7b-4)/y^(10-a) = x^24/y^19

Equating exponents, we have ...

... (2a-1) + (7b-4) = 24 . . . . exponent of x in the product

... (3b+4) + (10 -a) = 19 . . . exponent of y in the product

Simplifying these two equations, we get

... 2a +7b = 29

... a -3b = -5

By Cramer's rule, ...

... a = (7·(-5) -(-3·29)/(7·1 -(-3·2)) = 52/13 = 4

... b = (29·1 -(-5·2))/13 = 39/13 = 3

_____

<em>More about Cramer's Rule</em>

If you have the linear equations ...

  • ax +by = c
  • dx +ey = f

The solutions for the variables x and y can be found directly from the equation coefficients as ...

... x = (bf -ec)/(bd -ea)

... y = (cd -fa)/(bd -ea) . . . . same denominator as for the first equation

Once you recognize the pattern in the products, the formula is not difficult to remember.

___

This is actually the Vedic math version of Cramer's rule. It differs from the usual presentation of Cramer's rule in that both numerator and denominator are negated. This makes the pattern of products easier to remember and gives exactly the same result.

6 0
3 years ago
Graph the function y = -2x + 3. Tell whether or not each ordered pair lies on the line. Explain.
jarptica [38.1K]
Is it possible for you to use a graph when doing Variables?
7 0
3 years ago
Y =1/4x + 3<br> Y = -1<br> Help me
kap26 [50]

Y = 7  

Explication pas à pas:

x est -3 donc -3 et connectez le x.

Y = -1 / 3 (-3) +5.

Y = 1 + 5

Y = 7

7 0
3 years ago
Evatuate expreeion of the valube 5 (9+d) - 6
sammy [17]

Answer:

39 + 5d

Step-by-step explanation:

First multiply 5 by 9 and 5 by d then subtract 6 from 45 (which you get from multiplying 5 by 9) and you get 39 and multiply 5 by d so you get 39 + 5d

7 0
2 years ago
Read 2 more answers
Find the solution set.<br> (x + 8)(x + 8) = 0
serg [7]

Answer:

Write the repested multiplication in exponential form then the only way an exponentiation can be 0 is when the base equals 0 then move the constant to the right-hand side and change its sign then your answer is x=-8

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.04 liters. Then he wants to fil
    12·1 answer
  • A 30° – 60° – 90° triangle is shown below. Find the value of x.
    6·1 answer
  • HELP ASAP! Pizza shack charges $8 per pizza with a $4 delivery fee. Pizza on the Plaza charges $10 per pizza but does not charge
    14·1 answer
  • Match the reasons with the statements in the proof if the last line of the proof is: 6. ∠3 and ∠5 are supplementary because of t
    11·1 answer
  • Find the exact value of tan (arcsin (2/5)).
    6·1 answer
  • Help please what is the answer?
    12·1 answer
  • Ariel wants to choose 5 players for her basketball team. There are 7 players to choose from. How many different teams can aerial
    10·1 answer
  • U = {r,s,t,u,v,w,x,y,z}
    13·1 answer
  • Please help me with this problem
    7·1 answer
  • You will get Brainly if if you answer correctly and provide step-by-step explanation pls help me I need help with five
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!