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
Marianna [84]
3 years ago
14

Find r(x + 1) if r(x) = x3 + x + 1

Mathematics
2 answers:
suter [353]3 years ago
7 0

Substitute x + 1 as x in the equation of the function:

r(x)=x^3+x+1\\\\r(x+1)=(x+1)^3+(x+1)+1=x^3+3(x^2)(1)+3(x)(1^2)+1^3+x+1+1\\\\=x^3+3x^2+3x+x+2=x^3+3x^2+4x+2

Used

(a+b)^3=a^3+3a^3b+3ab^3+b^3

Ad libitum [116K]3 years ago
4 0

Answer:

<em>r(x + 1) = x^3 + 3x^2 + 4x + 3</em>

Step-by-step explanation:

r(x) = x3 + x + 1

Replace x with x + 1 is r(x) and simplify.

r(x + 1) = (x + 1)^3 + x + 1 + 1

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

= x^3 + x^2 + 2x^2 + 2x + x + 1 + x + 2

r(x + 1) = x^3 + 3x^2 + 4x + 3

You might be interested in
X2-3xy-5xy-7y2+4x2+8y2
Zepler [3.9K]

For this case we must simplify the following expression:

x ^ 2-3xy-5xy-7y ^ 2 + 4x ^ 2 + 8y ^ 2

We must add similar terms taking into account that:

  • Equal signs are added and the same sign is placed.
  • Different signs are subtracted and the major sign is placed.

(x ^ 2 + 4x ^ 2) + (- 3xy-5xy) + (- 7y ^ 2 + 8y ^ 2) =\\5x ^ 2-8xy + y ^ 2

Thus, the simplified expression is:

5x ^ 2-8xy + y ^ 2

Answer:

5x ^ 2-8xy + y ^ 2

4 0
4 years ago
No need to show work only need answer thx!
Stella [2.4K]
X=-5, X=4 hope this helps
5 0
3 years ago
Suppose that g(x) = f(x - 2) +7. Which statement best compares the graph of
sweet [91]

Answer:

A

Step-by-step explanation:

changing the number in the f(x) will shift right and left ( + for left and - for right ) and changing out f(x) will shift up and down ( + for up and - for down)

6 0
3 years ago
Help please and thank you.
azamat
9.2 i think you have to round it up and it’s 9.5
4 0
3 years ago
Please help!!!!!!!!!!!!
almond37 [142]
It’s either B or C, I’m not really sure
7 0
3 years ago
Other questions:
  • Mrs. Williams is deciding between two field trips for her class. The Science Center charges $120 plus $5 per student. The Dino D
    10·1 answer
  • What is the value of the 8 in 381,697?
    5·2 answers
  • Find the length of the missing side of the triangle. The lengths of the triangles are 5m and 14m. The answer choices are:
    12·2 answers
  • For triangle FGH, shown below, which of the following is an expression for y in terms of X? H y meters 4 meters F x meters O a x
    9·1 answer
  • In a library where the ratio of men to women is 1 to 1, _____ of the total members are men
    7·1 answer
  • What is the x for x - 8 = -5
    15·1 answer
  • HELP ME QUICK
    14·1 answer
  • Could someone give me some advice?
    5·2 answers
  • 3.6 - 5.6n - 4n + 8<br> Simplify the expression
    13·2 answers
  • Part B
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!