Suppose h(x) = 3/x^2-1. Find two nontrivial functions such that h(x)=(f o g)(x) (f o g referring to f of g)

105,918 results
  1. Precalculus

    Suppose H(X)=(3-7x)^6 Find two functions f and g such that (f•g)(x)=H(x) Neither function can be the parent/ identity function

  2. Calculus

    Suppose the functions f and g and their derivatives have the following values at x = 1 and x = 2. Let h(x) = f(g(x)). Evaluate h′(1).

  3. Algebra

    Suppose H(x)=(sqrt5x+3). Find two functions f and g such that (fog)(x)= H(x) . f(x)= g(x)= Neither function can be the identity function. (There may be more than one correct answer.)

  4. math

    Suppose f and g are continuous functions such that g(3) = 4 and lim x → 3 [3f(x) + f(x)g(x)] = 35. Find f(3).

  5. Precalculus

    Suppose H(X)=(6x-5)^3 Find two functions f and g such that (f•g)(x)=H(x) Neither function can be the parent/ identity function

  6. calculus

    Suppose that x=x(t) and y=y(t) are both functions of t. If x^2+y^2=26 and dx/dt=−2 when x=1 and y=5, what is dy/dt? help??????

  7. 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.

  8. Calculus

    suppose y=√(2x+1), where x and y are functions of t. a)if dx/dt=3, find dy/dt when x=4 b)if dy/dt=5, find dx/dt when x=12

  9. Trig

    The point (1/3,1/4) lies on the terminal side of an angle. Find the exact value of the six trig functions, and explain which functions are reciprocal functions to each other.

  10. Mathematics

    Suppose that the functions p and q are defined as follows. p(x)=-x-1 q(x)=-2x^2-2 Find the following. (pxq)(5) (qxp)(5)

  11. Math (Analysis)

    Suppose that A has exactly three elements and B has exactly two. How many different functions are there from A to B? How many of these are injective? How many are surjective?

  12. Algebra

    Suppose that the functions s and t are defined for all real numbers x as follows s(x) x-4 and t(x)=4x+1 write the expressions for (s•t) and (x) and (s+t) and evaluate (s-t)(-2)

  13. mathematics

    In the mail, you receive a coupon for $5 off of a pair of jeans. When you arrive at the store, you find that all jeans are 25% off. Define two functions that represent the two types of discounts separately. Let f(x) be the dollars off and g(x) be the

  14. algebra

    Lesson 6: Graphing linear functions Unit 5: functions HELP! NO ANSWERS HERE! 1. Find the slope (no pic) A. 2 B. - 1/2 C. -2 D. 1/2 I don't know help! Hope I can get all the answers for the test! Thanks

  15. Calculus

    Suppose y = sqrt(2x + 1), where x and y are functions of t. (a) If dx/dt = 15, find dy/dt when x = 4. dy/dt = ?

  16. Math

    suppose u and v are functions of x that are differentiable at x=2 and that u(2) =3, u'(2) = -4, v(2) = 1, and v'(2) find values of derivatives at x = 2 (d/dx)(uv) = ? I would like to know how to set this up because I'm only used to getting problems that

  17. mathematics

    suppose H(x) = (1-7x)^4 find two functions F and G such that (f•g)(x)=H(x) neither function can be identity function

  18. linear algebra

    Let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ⊕ g by (f ⊕ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector space, which is denoted by

  19. math

    f(x) = x^3 and g(x) = 3x-7 If the inverses of two functions are both functions, will the inverse of the composite function made by the original functions also be a function?

  20. Math help/check

    Suppose the functions f and g and their derivatives have the following values at x = 1 and x = 2. Let h(x) = f(g(x)). Evaluate h′(1). X | f(x) G(x) f'(x) g'(x) ____________________________ 1 | 8 2 1/3 -3 2 | 3 -4 2π 5 My answer: -6π

  21. math

    Suppose that the functions f and g are defined for all real numbers x as follows.f(x)=x+4,g(x)=3x+2.Write the expressions for(f*g)(x) and (f-g)(x) and evaluate (f+g)(4)

  22. College Algebra! help!

    Consider the following functions f(x)= (7x+8)/(x+3) and g(x)= (3x-8)/(7-x) (a) Find g(g(x)) (b) Find g(f(x)) (c) Determine whether the functions f and g are inverses of each other.

  23. Mathematics

    Suppose that the functions p and q are defined as follows. p (x) = -x 2 q (x) = -2x +2 Find the following. (p×q)(-5) (q ×p)(-5)

  24. mathematics, algebra

    Suppose that the functions p and q are defined as follows. p(x)=x+1 q(x)=-x^2-1 Find the following. (pxq)(-3) (qxp)(-3)

  25. math - trig

    Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean Theorem and find the following trigonometric functions of the indicated angle. Given: a = 4 and b = 7 Find: sin A,

  26. Math

    There are 4 odd functions and 3 even functions in the gallery of the 12 basic functions. After multiplying these functions together pairwise in different combinations and exploring their graphs, make a conjecture about the summetry of: A) a product of 2

  27. math

    Suppose that the functions r and s are defined for all real numbers x as follows. r(x)=2x-1 s(x)=6x write the expression for (r*s)(x) and (r-s)(x) and evaluate (r=s)(4)

  28. Micro economics

    Market for slim mobiles is represented by the following functions (A)Q+1/3P= 36, Q+9=1/2 P (B) Q=4P2-4P , Q=44-3P2 Required i)Identify the demand and supply functions. Give reasons for your answer ii) Find the equilibrium price and quantity b)If supply of

  29. Math

    Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions: f(x)=(7/8)^x b) f(x)=log12x c) f(x)=log5/9x

  30. 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

  31. Math

    Suppose f and g are continuous functions such that g(3) = 2 and the limit as x approaches 3 of [3f(x) + f(x)g(x)] = 15. Find f(3).

  32. 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.

  33. calculus

    Choose any two specific functions (not already chosen by a classmate) that have inverses. Use your chosen functions to answer any one of the following questions: If the inverses of two functions are both functions, will the inverse of the composite

  34. math-please I really need help!!!!!

    Consider the functions f(x)=2x+8/x+6; g(x)=6x-8/2-x Find f(g(x)) Find g(f(x)) Deterrmine if f and g are inverses of each other. a. What is f(g(x))? Give any values of x that need to be excluded from f(g(x)) x=? b. what is g(f(x))? ive any values of x that

  35. Algebra

    Suppose that the functions q and r are defined as follows: q(x)=2x+1 r(x)=-2x^2+1 Find the following: (qOr)(4)= (rOq)(4)=

  36. Algebra

    Suppose that f(x) and g(x) are functions which satisfy f(g(x))=x^2 and g(f(x))=x^3 for all x ≥ 1. If g(16)=16, then compute log_2 of g(4). I'm not quite sure what to do here.

  37. Calculus Can you help

    Suppose the functions f and g and their derivatives have the following values at x = 1 and x = 2. Let h(x) = f(g(x)). Evaluate h′(1). X | f(x) G(x) f'(x) g'(x) ____________________________ 1 | 8 2 1/3 -3 2 | 3 -4 2π 5 My answer: -6π but I'm not really

  38. Check a few more CALC questions, please?

    I feel pretty good on my answers. Are there any I got wrong? Thank you for the help! 1. If g(x) = tan (5x^2), then g′(x) = * 10x sec2(5x2) sec2(5x2) –10xsec(5x2)tan(5x2) 10sec2(5x2) 7xsec2(5x2) 2. The inflection point of the curve y = x4 − 8x3 + 24x2

  39. 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

  40. 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

  41. math

    Suppose a company has fixed costs of $45,600 and variable cost per unit of 1/3x + 444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2368 − 2/3x dollars per unit. (a) Find the break-even

  42. Pre-Calc

    Suppose that x=x(t) and y=y(t) are both functions of t. If x^2+y^2=2, and dx/dt=5 when x=1 and y=1, what is dy/dt?

  43. Math (Grade 12)

    I need help with this problem (composite functions): If f(x) = 4x-3 and h(x )= 4x^2-21, find a function g such that f(g(x)) = h. I don't understand how we're supposed to combine the functions. Oh, and the answer is supposed to be g(x) = x^2 - (9/2).

  44. 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

  45. economics

    1.. Suppose that U(x; y) = min(x; y) with px = 1 and py = 1. Describe and illustrate the income and substitution effects of an increase in the price of good y. What does this imply about a tax imposed on good y.. 2.. Let U(x; y) = 5x:8y:2 showing all

  46. Math

    If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be a function? Explain your reasoning.

  47. Quantum Physics

    We will carry out some steps of the quantum factoring algorithm for N=91 (a) What is the period k of the periodic superposition set up by the quantum factoring algorithm if it chooses x=8? I.e. what is the period of f(j)=8j(mod91) (b) Using your answer to

  48. FOR MATHMATE

    Media services charges $40 for a phone and 20/mth for its economy plan. It says to find a model that determines the total cost, C(t), of operationg a media Services phone for t months. I think the answer should be in this equation - y = mx+b. Not sure.

  49. Precalculus

    Suppose h(x) = 3/x^2-1. Find two nontrivial functions such that h(x)=(f o g)(x) (f o g referring to f of g)

  50. Calculus I

    Suppose that f and g are two functions both continuous on the interval [a, b], and such that (b) = p and f(b) = g(a) = q where p does not equal to q. Sketch typical graphs of two such functions . Then apply the intermediate value theorem to the function

  51. 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

  52. Business Math

    Suppose a company has fixed costs of $2400 and variable costs per unit of 3/4x + 1690 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1800 − 1/4x dollars per unit. (a) Find the break-even

  53. cjs/210

    Will someone please help me find a website to answer 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 the various

  54. math

    consider the functions f(x)=x^3-2 and g(x)=3 sqrt x+2: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverse of each other. I have no clue where to even begin!

  55. Composite Functions

    Find the composite functions for the given functions. (6 marks) f(x) = 4x + 1 and g(x) = x2 f(x) = sin x and g(x) = x2 - x + 1 f(x) = 10x and g(x) = log x

  56. Math

    Suppose a company has fixed costs of $38,400 and variable cost per unit of 1 3 x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1454 − 2 3 x dollars per unit. (a) Find the break-even

  57. Calculus

    Suppose f(x) = x ^ 4 – 4x ^ 2 + 6, and g(x) = 3x ^ 3 – 8x. Prove, via the Intermediate Value Theorem, that the functions intersect at least twice between x = –2 and x = 4.

  58. physics

    In this problem, we will carry out some steps of the quantum factoring algorithm for N=91. (a) What is the period k of the periodic superposition set up by the quantum factoring algorithm if it chooses x=8? I.e. what is the period of f(j)=8j(mod91) (b)

  59. math

    The weekly demand and supply functions for Sportsman 5 X 7 tents are given by the following respective functions where p is measured in dollars and x is measured in units of a hundred. Find the equilibrium quantity. Find the equilibrium price.

  60. Mat222

    Suppose that the functions S and T are define for all real numbers x as follow. s(x)=x-3 t(x)=3x+1 Write the expressions for (s-t)(x)and (s.t)(x) and evaluate (s+t(-2)

  61. algebra 2

    Factor completely with respect to the integers. 1. 9x^2 - 4 2. x^3 + 64 3. 200x^2 - 50 4. 8x^3 - 64 5. x^3 + x^2 + x + 1 6. x^3 - 2x^2 + 4x - 8 7. 2x^3 + 4x^2 + 4x + 8 8. 2x^3 + 3x^2 -32x - 48 9. 7x^3 + 14x^2 + 7x 10. 6x^3 - 18x^2 - 2x +6 11. 3x^4 - 300x^2

  62. 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

  63. math

    Choose any two specific functions (not already chosen by a classmate) that have inverses. Use your chosen functions to answer any one of the following questions: If the inverses of two functions are both functions, will the inverse of the composite

  64. PreCalc

    Choose any two specific functions that have inverses. Use your chosen functions to answer any one of the following questions - If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be

  65. 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

  66. 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.

  67. composite functions

    f(x)=2x-4, g(x)=x squared + 5x What is F o G and Domain Okay, we are given f and g as functions of x. To compose a function means to use one function, g in this case, as the argument of the other, f in this case. Thus we want f o g = f(g(x)) With f(x) =

  68. Economics

    Initially suppose that both countries have the same production function, namely q = K.3L.7. For this production function, MPL = .7K.3L-.3 and MPK = .3K.-7L.7. Derive (with all steps shown) the long-run total cost function for each country. (Given that both

  69. Math (calculus)

    Prof gave us this question to practice but I do not know how to solve it. If you know please provide step by step with the answer so I can understand it. Thank you very much :) Suppose a rocket is launched from the ground with 10 seconds worth of fuel. The

  70. math

    consider the functions f(x)=2x-8 and g(x)=x/2+4 (a) Find f(g(x)). (b) Find g(f(x)). (c) Determine whether the functions f and g are inverses of each other (a) What is f(g(x))? Simplify your answer

  71. Pre-Cal

    Suppose è is an acute angle of a right triangle. For this function, find the values of the remaining five trigonometric functions of è. Round to four decimal places. sin è = 0.1 cos è = tan è = cot è = csc è = sec è =

  72. math

    Suppose f(x) is a function which is even but then transformed to an odd function g(x) = af(kx − d) + c. What can you conclude about a, k, d, and c. Justify your conclusion both algebraically and graphically. I honestly have no idea how to answer this

  73. math

    for the given functions f and g, find the specified value of the following functions and state their domains: f(x)=x-5; g(x)=2x^2 a.(f+g)(3)= b.(f/g)(3)= Can someone help me figure this out? pleeeease????

  74. Algebra 2 @ Steve

    I have another question regarding functions, but instead if you are adding up functions that are in a radical. f(x) and g(x) are both square root of x+5. To find the domain of f+g, f-g, fg, and f/g, would I find the domain of each function...[-5,infinity)?

  75. math help

    suppose that the functions p and q are defined as p(x)=x^2+3 q(x)= squarex+2 (q*p)(2)= (p*q)(2)=

  76. Algebra 2

    Can someone help me figure these out? I think if someone can explain how to do one of them then I'll be able to do the other. please and thank you. Suppose θ is an angle in standard position whose terminal side is in the given quadrant. For each function,

  77. Math

    Can you check my work and tell me if I did anything wrong? 1. With the functions: f(x) = x^2 + 3x and g(x) = -3 + x what is f(x) + g(x)? Answer: x^2 + 4x - 3 2. With the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x)? Answer: x^2 + x - 12 3. With

  78. Algebra

    Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, showing all

  79. calculus

    Let f'(x)=4x^3-12x^2. (a) find three different functions with derivative equal to f'(x). how are the graphs of the three functions related? the only one that i can figure out is: f(x)=x^4+4x^3+y where y can equal any constant. any help on figuring out the

  80. Math

    Copying the question word for word: Investigate different rules for integration. You should include polynomials, exponential functions, logarithmic functions, sine functions, cosine functions and a function made up by a quotient. Give an example of

  81. 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

  82. Math(Correction)

    Use the given function values and trigonometric identities (including the relationship between a trigonometric function and its cofunction of a complementary angle) to find the indicated trigonometric functions. Sorry for the mistake. They are two separate

  83. Algebra Functions

    I cannot for the life of me remember how to do this- Find the vertex of the graphs of the functions: Function #1: y=(x-4)(x+2) AND Function #2: y=2x^2-4x+1 Can someone help me get it PLz! OK - to find the vertex of these functions you must have them in

  84. Math - Game Theory

    Suppose that a decision-maker's preferences can be represented by the expected value of a utility function u. Find another utility function u' whose expected value represents the decision-maker's preferences and assigns a payoff of 1 to the best outcome

  85. Probability

    Let X, Y, Z be independent jointly continuous random variables, and let g, h, r be some functions. For each one of the following formulas, state whether it is true for all choices of the functions g, h, and r, or false (i.e., not true for all choices of

  86. math

    Which of the following homogeneous systems have a nontrivial solution? 5x+ y + 5z =0 −2x + 2y− 4z = 0 4x− 3y + 6z = 0 can someone please explain how you know

  87. linear algebra

    Which of the following homogeneous systems have a nontrivial solution? 5x+ y + 5z =0 −2x + 2y− 4z = 0 4x− 3y + 6z = 0 can someone please explain how you know

  88. Calculus

    Suppose f and g are functions that are differentiable at x = 1 and that f(1) = 2, f '(1) = -1, g(1) = -2, and g '(1) = 3. Find the value of h '(1). h(x) = (x2 + 11) g(x) h '(1) =

  89. Calculus

    Suppose f and g are functions that are differentiable at x=1 and that f(1)= 2, f'(1)= -1, g(1)= -2, and g'(1)= 3. Find the value of h'(1). h(x)= [x f(x)] / [ x + g(x) ]

  90. Calculus

    Suppose f and g are continuous functions such that g(7) = 6 and lim [3f(x) + f(x)g(x)] = 18. x → 7 Find f(7).

  91. 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

  92. Calc Help

    Find two functions that this could be the derivative of: y'=4x+7 Remember the derivative of any constant is zero. take its antiderivative i suppose... y= 2x^2 + 7x + any number

  93. pre calculus

    consider the functions f(x)=x^3-3 and g(x)=3 sqrt x+3: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverses of each other. I really need help with these, I don't get it at all.

  94. trig (pre-cal class)

    Suppose è is an acute angle of a right triangle. For this function, find the values of the remaining five trigonometric functions of è. Round to four decimal places. sin è = 0.1 cos è = tan è = cot è = csc è = sec è =

  95. math

    for the given functions f and g, find the specified value of the following functions and state the domain of each one. f(x)=2+3/x; g(x)=3/x a.(f-g)(2)= b.(f/g)(3)= how do I do this? I need help! it throws me off because of it being in fraction form.

  96. Microeconomics

    Suppose that the demand functions for price increases and for price cuts facing an oligopolist are, respectively, Q1=560-80p1 and Q2=200-20p1 Suppose that the firm’s total cost function is TC=4Q+0.050Q^2 3.1 Derive the MR1, MR2 and MC functions facing

  97. Algebra 2

    Can someone help me figure these out? I think if someone can explain how to do one of them then I'll be able to do the other. please and thank you. Suppose θ is an angle in standard position whose terminal side is in the given quadrant. For each function,

  98. economics

    Let U(x; y) = 5x:8y:2 showing all derivation work, find: (a) the Marshallian demand functions for x and y (b) the Indirect Utility Function (c) the compensated demand functions xc and yc

  99. Math

    use the functions f(x)=x+4 and g(x)=2x-5 to find the specified functions. (g X f)^-1 Would the answer be x+1 over 2?

  100. Math

    Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions a) f(x)=(7/8)^x b) f(x)=log12x c) f(x)=log5/9x

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