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
Olenka [21]
1 year ago
13

Answer the following function, algebra 1.

Mathematics
1 answer:
11111nata11111 [884]1 year ago
4 0

Answer:

g(f(x)) = 1x² + 1

Step-by-step explanation:

We are given:
f(x) = x² - 1

g(x) = x + 2

And we want to find g(f(x)).

To do this, we substitute f(x) as x in x+2 (the expression that is equal to g(x)), as g(f(x)) is saying that f(x) is the value of x in g(x).

So, this will be:

g(f(x)) = x² - 1 + 2

Simplify

g(f(x)) = x² + 1

In your system, place 1 in front of x² - this is the coefficient of x², and also 1 after that - this is a constant.

You might be interested in
CDs are $15.25 each how much will it cost to buy 3
Sonja [21]

Question

CDs are $15.25 each how much will it cost to buy 3


Answer:

<h2>45.75 $</h2>

Step-by-step explanation:

1 CD = $ 15.25

multiply the unit price by 3

15.25 * 3 = 45.75 $



7 0
3 years ago
Find a polynomial function of degree 3 with 2, i, -i as zeros.
sergiy2304 [10]

Answer:

p(x)= x^3-2x^2+x-2

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if \alpha , \ \beta \ \& \ \gamma are the zeros of the cubic polynomial , then ,

\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)

Here in place of the Greek letters , substitute 2,i and -i , we get ,

\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

\sf  \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}

Simplify using i = √-1 ,

\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )

Multiply by distribution ,

\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)

Simplify by opening the brackets ,

\sf\longrightarrow p(x)= x^3+x-2x^2-2

Rearrange ,

\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}

4 0
2 years ago
Find the solution of the system of equations. <br>7x -- 8y = -23<br>7x – 7y = -14<br><br>(?,?)​
gtnhenbr [62]

Answer:

(7,9)

Step-by-step explanation:

6 0
2 years ago
Prove Theorem 6-6. Given:m AB =m CD. Prove: m AB = mCD
aliya0001 [1]

Answer:

Look at picture

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Darius has a 6-month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I = Prt
Travka [436]
Firstly, multiply the principal P, interest in percentage R and tenure T in years.
For yearly interest, divide the result of P*R*T by 100.
To get the monthly interest, divide the Simple Interest by 12 for 1 year, 24 months for 2 years and so on.
6 0
3 years ago
Other questions:
  • 3 × 5/8 + 3,200 ÷ 3?
    9·1 answer
  • Whats next 2 numbers in this pattern 4,20,100,500.....
    15·1 answer
  • What is the equation of the line that is perpendicular to f(x) and passes through the point (4, –6)
    7·2 answers
  • Flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 13 feet mor
    13·1 answer
  • The population of a certain type of gorilla has been decreasing at a rate of about 3.5% per year over the past twenty years. If
    15·1 answer
  • The graph shows the amount of money paid when purchasing bags of candy at the zoo: A graph is shown. The x-axis is labeled from
    5·2 answers
  • 5. Find the slope between the<br> following points:<br><br> (0, 0), and (0,8)
    12·1 answer
  • What would the UNIT RATE be for 90 miles in 5 hours be
    9·1 answer
  • one day, duncan and his friends had lunch while sitting at tables of 6. another day, they had lunch at tables of 5. what is the
    13·1 answer
  • Simplify (3x² + 2y² - 5x + y) + (2x² - 2xy - 2y² - 5x + 3y).
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!