1. Alg/2 Trig

    Given the functions f(x)=-x^2+7 and g(x)=3x+4 find f(g(-5)) Write the composition above using an alternative notation.
  2. Math - Functions

    For the real valued functions f(x) - |x| - 4 and g(x) = sqrt(5 - x) Find the composition of f o g and the domain in interval notation. Can someone help me solve this?
  3. Function compostions

    Sorry I had to repost, I left somethings out. Can you please check my answers? For the given functions f and g, find the indicated composition. 5. f(x)=7x+9, g(x)=2x-1 Find (f *g)(x) I got 14x+2 For the given functions f and g, find the indicated
  4. Functon compostions

    Can you please check my answers? For the given functions f and g, find the indicated composition. 5. f(x)=7x+9, g(x)=2x-1 I got 14x+2 For the given functions f and g, find the indicated composition. 8. f(x)=-5x+3, g(x)=6x+3 I got -30x+18 Find functions f
  5. Math

    Can you show me the work to get these answers also? A.Solve each equation. Leave exact answers: 1.5^3x-2=14 2.log(x-1)-logx=log(x-3) B.If f(x)=x+2/x and g(x)=7/x-5, a. Find the composition (f o g)(x) and simplify completely. b. Find the domain of (f o
  6. Math

    Redo problem 13 from section 1.8 of your textbook (page 62), but use the functions in the questions below rather than the functions in your textbook: (a) In order to express the function y = 1311 x − 4, as a composition of two functions the outer of
  7. math

    (a) In order to express the function y = 1010 x + 4, as a composition of two functions the outer of which is an exponential function, we would let u be equal to the inner function, u = , and then write y as a function of u, as follows: y = . (b) In order
  8. Calculus

    In order to express the function y=12^19x+7 as a composition of two functions the outer of which is an exponential function,we would let u be equal to the inner function, u=19x+7, and then write y as a function of u, as follows: y= ??? . (b) In order to
  9. advanced functions/precalculus

    1. The function f(x) = (2x + 3)^7 is the composition of two functions, g(x) and h(x). Find at least two different pairs of functions g(x) and h(x) such that f(x) = g(h(x)). 2. Give an example of two functions that satisfy the following conditions: - one
  10. algebra

    why might function notation be important? the reasons notation is used? Once you get out of three dimensional functions, it is hard to write it any other way. Example: f(x,y,z,t, u, v)=2x +y*et + uv -3zuv2
  11. Math

    a) In order to express the function y = 1311 x − 4, as a composition of two functions the outer of which is an exponential function, we would let u be equal to the inner function, u = , and then write y as a function of u, as follows: y = . (b) In
  12. Pre-Calculus

    Composition of Functions f o g(x)=f(g(x)) --> I know that this is eqivalent to f(g(x)) Given f(x) = 2x+1, and g(X) = 3x+1 find:f o g(x)=f(g(x)) This is what I did, but I don't think Ive solved it correctly f(g(x)) = f(x-3) f(x-3) = 1(x-3)-3x+2 =x-3-3x+2
  13. calculus

    Write h(x) = 6x^4 - 2x^2 + 1 as a composition of two functions f and g
  14. advance functions

    Determine the Interval notation and Inequality notation of the absolute value notation: abs(x)>-5
  15. pleazzzzee help

    oyce is buying a pair of jeans for $39.99. The jeans are on sale at a 20% discount and the sales tax is 7%. Write a function T(x) to represent the total cost of an item with 7% sales tax. Find the composite function (T of S)(x).Use the composition to find
  16. math ALG 2!scientific notations helpp

    Write the following value in standard notation. 4.25 x 106 Write the following value in standard notation. 3.89 x 104 Write the following value in standard notation. 3.14 x 10-5 Write the following value in standard notation. 2 x 10-6
  17. Algebra

    Use composition of functions to show that the functions f(x) = 5x + 7 and g(x)= 1/5x-7/5 are inverse functions. That is, carefully show that (fog)(x)= x and (gof)(x)= x.
  18. math ALG 2!scientific notations helpp

    Write the following value in scientific notation. 23,000,000 Write the following value in scientific notation. 7,400,000 Write the following value in scientific notation. 0.00000021 Write the following value in scientific notation. 0.00003165 Which value
  19. math ALG 2!scientific notations helpp

    1.)Write the following value in scientific notation. 23,000,000 2.)Write the following value in scientific notation. 7,400,000 3.)Write the following value in scientific notation. 0.00000021 4.)Write the following value in scientific notation. 0.00003165
  20. Math 10- Relations & Functions

    1) write the following with two variables: F (x) = 4x - 8 2) Write the following function in notation: C= 14n + 5 3) Fow the following function, F (x) = 8x + 12: a) F (x) = 132 b) F (6)
  21. 7th grade math questions Scientific Notation

    19. Write the size of a grain of very fine sand, about 9.35 x 10^-2 cm, in standard form. 31. The population of the US is expected to be 392 million people by 2050. Write this answer in scientific notation. 37. Write 10^29 - 10^28 in scientific notation.
  22. algebra

    Find two functions, f and g, to express the given function (y = [4/(x-3)] + 1) in each way shown below. Sum Product Quotient Composition I got the sum and the composition, but I can't figure out the product and the quotient. Any help is appreciated,
  23. algebra

    i forgot to post these! f(x)=9x+4 and listed in interval notation also: f(x) x2+14x+40 in interval notation and: 1/x^2+81 (interval notation) and: x+11/x^2-121 (interval notation) and: f(x+2) f(x)=6x^2-x+7 You have listed a lot of functions but have said
  24. Math

    Help me for this question on composite functions Does the composition of functions display the commutative property? Give an example of each case to illustrate your answer.
  25. Logs

    Determine the domain of the following functions, write answer using interval notation. T(x)=log12(x^2+14x)
  26. Pre-Calculus

    Operations with Functions write the function below as either a sum/difference/product/quotient of 2 r more functions a. h(x) = x^2+3x+9 How Would I do this? My teacher just did this f(x) = x^2 g(x) 3x+9 ^I don't really understand h(x)=(x+5)(x-3) how would
  27. Calculus AB

    The functions are f(x)= lnx, x>0 and g(x)=sinx. Let H be the composition of f with g, or H(x)=f(g(x)) and A) Find the domain of H B) Find the range of H C) Find the zeros of H
  28. Pre-Calculus

    Composition of Functions If f(x) = 2x+1 find A. f o f(x) f(f(x)) = f(2x+1) f(2x+1) = 2(2x+1) f(f(x)) = 4x +2 B. f o f o f o f(x) ^ I don't get how to solve this one C. f o f o f o f o f ...o f(x) n functions of f ^ I also don't get how to solve this one
  29. Math

    Use roster notation to create and write two proper subsets of your original set. 3. Do the following and write your answers in roster notation. •Find the union of the sets. •Find the intersection of the sets. •Find the complement of each of the sets.
  30. Pre-Calc

    Help solving this please. I am unsure how to do it? Determine the domain of the following functions, write answer using interval notation. P( x )=log2(3x-8)
  31. algebra 2

    a store is offering a discount of 30% on a suit. There is a sales tax of 6%. A) using a composition of function, represent this situatio in which the discount is taken before the sales tax is applied. B) using a composition of functions represent the
  32. algebra 2

    can you answer this question? a store is offering a discount of 30% on a suit. There is a sales tax of 6%. A) using a composition of function, represent this situatio in which the discount is taken before the sales tax is applied. B) using a composition of
  33. Algebra

    I am stuck on a question about composition functions. They want you to find f(g(x)) and g(f(x)) using the following numbers: g(x)= 10x f(x)= x (squared)+4
  34. Algebra 1

    Plz help me with the following problems. Simplify. 5^-1(3^-2) Simplify. mn^-4/p^0q^-2 Write a scientific notation. 0.0042 Write in standard notation. 6.12*10^3 Simplify. Write in scientific notation. 0.5(8 * 10^5) Simplify. Write in scientific notation. (9
  35. Calculus

    I'm doing graphs/domain/range of basic functions. I have three questions: How do I find the domain and range of a function? (more preferably range...I'm okay but shaky on domain) Ex: f(x)=1/(x^2) Also, how do you write the domain and range with notation?
  36. Music

    You will compose a short piece of music using what you have learned in Units 1 and 2. Use the following guidelines for your composition: Your composition should be at least eight measures in length. Your composition should have a key signature. Your
  37. math-advanced functions

    on my exam review, i have this question for composition of functions Given f(x)=3x^2+x-1, g(x)=2cos(x), determine the values of x when f(g(x))=1 for 0≤x≤2π.
  38. Discrete Mathematics

    Consider the following table of values for real valued functions f(x) and g(x). x 1 2 3 4 f(x) 3 1 4 2 g(x) 4 1 3 5 Find f o g(1) where o denotes function composition.
  39. Algebra

    Find the domain of the function. (Write your answer using interval notation.) sqrt(x)/ (4x^2 + 3x − 1) If you set the bottom equal to zero, I got that x can't be -1 or 1/4. But I'm not sure if that's right, or how to write the answer in interval
  40. math

    The application of one function followed by the application of a second function to the result of the first as in F^-1(f(x)) is called composition of functions. The two functions need not be inverse of each other. In a diagram, the output of one function
  41. Precalculus

    The application of one function followed by the application of a second function to the result of the first as in F^-1(f(x)) is called composition of functions. The two functions need not be inverse of each other. In a diagram, the output of one function
  42. algebra 2

    a store is offering a discount of 30% on a suit. There is a sales tax of 6%. A) using a composition of function, represent this situatio in which the discount is taken before the sales tax is applied. the answer is (1.06)(.7x) = .742x B) using a
  43. algebra 2

    a store is offering a discount of 30% on a suit. There is a sales tax of 6%. A) using a composition of function, represent this situatio in which the discount is taken before the sales tax is applied. the answer is (1.06)(.7x) = .742x B) using a
  44. Calculus

    Hi there, I need help with composition of functions. I need to find fog, gof, gog, and fof and their domains for the following: f(x) = square root of 2x +3 g(x) = x^2 + 1 if someone can help me asap that would be so great!
  45. 8th Grade Math

    Question: a) Write in standard notation: 6.3 X 10 to the ninth power. b) Write in scientific notation: 0.00000047
  46. Algebra

    Write in standard notation. 6.12 X 10^3. A. 6120 B. 612 C. 61,200 D. 61.2 A Simplify and write in scientific notation. 0.5(8 X 10^5). A. 8 X 5^5 B. 4 X 5^5 C. 8 X 10^5 D. 4 X 10^5 D
  47. REALLY NEED HELP

    Joyce is buying a pair of jeans for $39.99. The jeans are on sale at a 20% discount and the sales tax is 7%. Write a function T(x) to represent the total cost of an item with 7% sales tax. Find the composite function (T of S)(x).Use the composition to find
  48. math test

    Hi! I have a math test coming up tomorrow, and I need to prepare. but,i don't know how I should. . . any help would be great. she told us to: Be prepared to identify and explain functions, linear functions and proportional functions. Be prepared to use the
  49. math

    Joyce is buying a pair of jeans for $39.99. The jeans are on sale at a 20% discount and the sales tax is 7%. Write a function T(x) to represent the total cost of an item with 7% sales tax. Find the composite function (T of S)(x).Use the composition to find
  50. Pre-Calculus

    3. Joyce is buying a pair of jeans for $39.99. The jeans are on sale at a 20% discount and the sales tax is 7%. Write a function T(x) to represent the total cost of an item with 7% sales tax. Find the composite function (T of S)(x).Use the composition to
  51. MATH

    a. Write the scientific notation b. Write the result in ordinary decimal notation. can you do this one so i know how to do the others (2.9 x 10^3)(3.0 x 10^-3)
  52. Math - Composition of Functions

    Express the function f(x) = 1/x+1 in the form goh. If h(x) = x+1, find the function g(x).
  53. Chemistry

    1. Write 86,400 s in exponential notation. My answer: 8.6400 x 10^4 s 2. Write 0.15 ns using exponential notation with units of s. My answer: 0.15 x 10^-9 3. 141000 g =? kg My answer: 141 kg 4. Write 1.4 Mg using exponential notation with units of g. My
  54. Algebra

    Need help finding composition of functions. I am doing something wrong continue to get wrong answer f(x)=x+6/x+5, g(x) = 2x-7. Find (fog)(x)
  55. Composition of Functions

    1. Find (f·g)(x) where f(x) = 1/x²+3 and g(x) = √x-2. a) (f·g)(x) = 1/x-2 b) (f·g)(x) = 1/√x-2 +3 c) (f·g)(x) = √-2x²-5/x²+3 2. Find (g·f)(x) where f(x) = x²-2 and g(x) = 5x-8. a) (g·f)(x) = 5x²-18 b) (g·f)(x) = 5x²-4 c) (g·f)(x) =
  56. maths

    f and g are functions defined as f(x)=5x+6/2x−2 and g(x)=4x/3x−2. What is the value of (f∘g)(4)? Note: f∘g denotes the composition of the 2 functions.
  57. U.S. Gov. & Ec.

    A decision is made at the margin when each alternative considers A. a different trade-off than the others. B. where the most costly alternative will be. C. what the “all or nothing” alternative will be. D. cost and benefit ranked in progressive units.
  58. busieness

    questions 2) List the facts that have the most bearing on the decision. 4)Explain what each affected person would want you to do about the issue. 5)List three alternative actions and identify the best and worst case scenario for each alternative, anyone
  59. math

    6.4 x 10^11 + 2.85 x 10^11 ( finding the sum written in scientific notation?) - 9.25 x 10^11 (my answer) - 9.25 x 10^22 - 92.5 x 10^-10 - 92.5 x 10^12 3 x 10^20/ 4 x 10^5 (write in scientific notation) - 7.5 x 10^3 - 0.75 x 10^4 (my answer) - 7.5 x 10^14 -
  60. physics

    the question gives a F(x), the force acting on a car vs t(s). It asks you to find in unit-vector notation p (momentum) I know that p is the area under the curve, but how would you write this in unit vector notation?
  61. math

    Please help. Hi, I am having some problems with inequalities. It is asking us to solve and graph on a number line and then write it in interval notation and set notation. X>2 and X>4 I graphed them in a number line already and i have the following:
  62. HEEEEEEELP

    HI I have no idea what's Alternative energy source . Can anyone help me in giving me a defintion for it thanx An alternative energy source is an additional one that is not being used already. It depends on what source is predominant or currently being
  63. Algebra 2 help

    Consider the following functions. f(x) = x2 − 3x, g(x) =√(x+2) (a) Find (f *g)(x). (Simplify your answer completely.) (B)Find the domain of f *g. (Enter your answer using interval notation.) (c) Find (g *f)(x). (Simplify your answer
  64. composition and communication 1

    i need to know how to write five sentences in which you address how your writing has changed in the first four weeks of class. the classis composition and communication 1
  65. 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 is continuous at every
  66. math

    write in fractional notation 16.904 write in decimal notation 4149/10,000 is this right 0.4149
  67. Pre-Calculus/Trigonometry

    Express the following function, F(x) as a composition of two functions and f and g. f(x)= x^2/(x^2+4)
  68. Algebra 2

    For the functions f(x) = 2x + 3 and g(x) = 6x + 2, which composition produces the greatest output? a- niether b- both c- f(g(x)) d- g(f(x)) I think it is d
  69. chemistry

    Write both the complete electron-configuration notation and the noble-gas notation for each of the elements below a. Na b. Sr c. P
  70. Math

    Please help with the following questions: 1. write 12 million in scientific notation 2. Write 17,600 in scientific notation 3. write 1.2 * 10 to the fourth power in standard form 4. write 5 * 10 to the sixth power in standard form
  71. SAT math

    1. x>15-2x / -3 Solve the linear inequality. Write the solution in set builder notation. So, -3x>15-2x, x<-15..? And how do I write it in set builder notation? 2. y+x=9 and 3y=2x + 8. How do I solve this system of equations? 3. Find the maximum y-
  72. Organic Chemistry

    Simple Distillation: What is the molar composition of the vapor in equilibrium with a boiling liquid that has a composition of 60% A and 40% B? I know that the vapor should be richer in the lower-boiling substance, which is A in this case. And: If a sample
  73. Calculus

    Math questions, please help me? :(? Find the composite functions f o g and g o f for the given functions. f(x) = 10^x and g(x) = log x State the domain and range for each: f(x) = 4x + 1 and g(x) = x^2 f(x) = sin x and g(x) = x^2 - x + 1 f(x) = 10^x and
  74. math

    can some one please help me with the following questions as i don't understand them please (a) write down the derivative of each of the functions f(x)=E7x and g(x)=cos(2x) using the product rule differentiate the function k(x)=E7xcos(2x) (b)write down the
  75. Calculus

    Find the sum and difference functions f + g and f – g for the functions given. f(x) = 2x + 6 and g(x) = 2x - 6 f(x) = x^2 - x and g(x) = -3x + 1 f(x) = 3x^3 - 4 and g(x) = -x^2 + 3 State the domain and range for the sum and difference functions in #3.
  76. Algebra

    Write the interval notation corresponding to the set notation {x | x < –7}.
  77. Algebra

    Write the interval notation corresponding to the set notation {x | x < –7}
  78. Algebra

    Write the interval notation corresponding to the set notation {x | x < –7} Could it be (-7]
  79. Inequalities Interval Notation

    Solve: (2 + x)(5 + x)(4 - x) < 0 (write answer in interval notation) Which I think is xe (-infinity, -5) or (-2, 4) and Solve: (4x + 1)(3 - x) > or equal to 0 (write answer in interval notation) Which im unsure
  80. Write the shorthand notation

    Write the shorthand notation and the orbital diagram electron configuration representation for each of the following elements and indicate the orbital(s) which contain valence electrons: (a) N, (b) K, (c) Cu, (d) Al.
  81. math-inequalities

    Hi, I am having some problems with inequalities. It is asking us to solve and graph on a number line and then write it in interval notation and set notation. X>2 and X>4 I graphed them in a number line already and i have the following: Interval
  82. Pre Calculas

    Im having a little trouble help please? 1.Given the table below, evaluate the following: x -3 -2 -1 0 1 2 3 4 5 f(x) 10 20 30 40 50 60 70 80 90 g(x) -1 -2 -3 -4 -5 -6 -7 -8 -9 a. (3f+2g(1) b. (fog)(-1) 2. Express the following function, H(x) as a
  83. MTH 156

    2^6 * 2^7 multiply and simplify and then write the answer in exponential notation. I know the answer is 8,192 but I cannot figure out how to write that in exponential notation. Thanks for the help.
  84. Math Help Please

    Please show me how to put this in interval notation. Thanks! I know I solved this right, I think, but need to put it in interval notatioin. Please tell me if i am correct. Thanks! PleaseSolve: (x-3)/(x^2-25)<0 and write solution set in interval
  85. scientific notation am i doing it right?

    write in decimal form (standard notation) 1) 8x10^4 = 80000. 2) 9.82x10^5 = 98,200,000. 3) 9x10^-3 = 0.0009 4) 7.24x10^-6 = 0.00000724
  86. Algebra

    The distance from the Earth to the sun is 93,000,000 miles? Write this number in scientific notation. A scientist measures a speck of sand as having a diameter of 0.00000034? Write this number in scientific notation.
  87. Statistics

    1. For the following research question, specify the parameter and give the null and alternative hypotheses. "Is there a difference in the proportions of male and female college students who smoke cigarettes? 2. For the following research question, specify
  88. Pre-Cal: Domain

    [Note: I really need help on these Domain questions. I've been struggling with this all day] -Consider the following: f(x)= 5/x , g(x)= 7/(x+7) -Find the solutions to the following: 1). (f+g)(x) 2). Domain of (f+g)(x) [Use interval notation too] 3).
  89. Algebra Help!!

    Find an example of scientific notation in real life Explain why the number was written in scientific notation. Create a multiplication problem with scientific notation
  90. Algebra

    Solve and express in interval notation Solve: |5 – 8x| > 11 and write interval notation for the solution set. This is what I get but I need it in interval notation. x<-3/4 or x >2 Solve: (x-3)/(x^2-25)<0 and write interval notation for the
  91. cjs/210

    Will someone please help me find a website to find the answer to the following questions? What are the various functions of a police agency? Compare how the functions of a police agency differ at the federal, state, and local levels. What would happen if
  92. Calc 1

    Consider the function below. f(x) = (x^2)/(x−9)^2 (a) Find the vertical and horizontal asymptotes. x=? y=? (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Find the interval where the function is
  93. Calculus

    We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any
  94. Math

    1) Find three functions with unlimited domains and ranges. 2) Find two functions with restricted domains. 3) Find two functions with restricted ranges. Im confused as to how I can find the answer for these question, can you please explain along the steps.
  95. College Algebra

    Graph the inequality on the number line and then write it in interval notation. 12x+4(x-3)<3x+53 Please help me write solution in interval notation and on the number line Thanks.
  96. scientific notation am i doing it right?

    write in scientific notation 1) 400,000 = 4x10^5 2) 5412= 5.412x10^3 3) 0.00056= 5.6x10^-4 4) 0.0000814= 8.14x10^-5
  97. Algebra-Interval Notation

    I don't remember how to solve this. The question is: For what values of a is the expression 7(x-2)5 negative? Write answer using interval notation.
  98. Math 116

    what is an interval notation and how do you find it? or write it?
  99. math,correction

    can somone correct these for me please... Simplify (m^5)^8 My answer.m^40 List the terms and coefficients of 8x^3-4x^2+3 My answer: terms: 3 coefficients: 8,-4 This next one i'm not sure about how to even do it... write 9.03 X 10^-2 in standard notation.
  100. Algebra 2

    Use summation notation to write the series 2+4+6+8 for 10 term in each of these images, the lower limit of the summation notation is either n=1, or n=0