alebra

Let f(x)=2x^2+x-3 and g(x)=x-1. Perform the indicated operation then find the domain. (f*g)(x)

a.2x^3-x^2-4x+3; domain:all real numbers
b.2x^3+x^2-3x; domain: all real numbers
c.2x^3+x^2+4x-3; domain: negative real numbers
d.2x^3+x-3x+3; domain: positive real numbers

  1. 👍 0
  2. 👎 0
  3. 👁 4,401
  1. f(x) = 2x^2+x-3
    g(x) = x - 1

    (f*g)(x) = f(x)*g(x) = (2x^2 + x - 3)*(x - 1)
    = 2x^3 + x^2 - 3x - 2x^2 - x + 3
    = 2x^3 - x^2 - 4x + 3

    All real numbers can be plugged into this function, so its domain is that of all real numbers.

    1. 👍 7
    2. 👎 0
  2. Function Operations Practice test
    d
    a
    d
    b
    b
    d
    c
    a
    c
    b

    1. 👍 7
    2. 👎 1
  3. 1. D
    2. A
    3. D

    4. B
    5. B
    6. D

    7. D
    8. A
    9. C
    10. B

    1. 👍 13
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra plz help

    1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/

  2. Algebra

    1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/

  3. MATH HELP

    A school puts on a play. The play costs $1,200 in expenses. The students charge $4.00 for tickets. There will be one performance of the play in an auditorium that seats 500 people. What is the domain of the function that shows the

  4. Algebra 2

    Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restriction. g(f(x)) 4 x2 + 1 16 x2 + 3 4 x2 + 7 16 x2 - 8 x + 3 Please help. I thinks that it is 16 x2 + 3.

  1. Algebra 2

    A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain? A-domain includes positive integers B- domain includes positive numbers C-domain includes all real

  2. Algebra 2

    A function is created to represent the amount of money in your checking account. What restrictions would be made to the domain? -The domain would include all real numbers.* -The domain would only include positive integers. -The

  3. algebra

    Can someone check my answers on exploring conic sections? 1. Graph x2 + y2 = 9. What are its lines of symmetry? Every line through the center is a line of symmetry. The y-axis and the x-axis are lines of symmetry.( my choice)

  4. college alg

    for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 (they look like fractions) A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work

  1. algebra

    Can someone check my answers please and if Im wrong please explain. 1) graph 4x^2+4y^2=64. what are the domain and range? domain;all real numbers range;-4

  2. Calculus

    Explain, using the theorems, why the function is continuous at every number in its domain. F(x)= 2x^2-x-3 / x^2 +9 A) F(x) is a polynomial, so it is continuous at every number in its domain. B) F(x) is a rational function, so it

  3. algebra

    Find the domain and range of the relation and determine whether it is a function? Answers are Domain x>1 range y>0yes it is a function Domain all real numbers,range all real numbers yes it is a function Domain positive integers,

  4. alg 2

    Given the following functions, perform the indicated operation and state the domain. f(x) * g(x) 3X^1/2*6X^1/3. I got 18X^5/6. But without using a calculator how do i find the domain?????? Thanks:)

You can view more similar questions or ask a new question.