if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(x)and the domain of f of g B) (g of f)(x) and the domain of g of f C) (f of h)(x) and the domain of f of h A) f(g(x))

95,118 results
  1. 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

  2. math

    Find the rules for (f∘g)(x) and (g∘f)(x) and give the domain of each composite function. f(x) = x^2 g(x) = √(1-x) The Domain of (f∘g)(x) is : (f∘g)(x) = The Domain of (g∘f)(x) is : (g∘f)(x) =

  3. Calculus

    Find the minimum distance between the curves y=e^x and y=lnx. Hint: Use the fact that e^x and lnx are inverse relationships. I have no idea where to start. Thanks! calculus - Reiny, Monday, January 18, 2016 at 9:02pm to get you going: let P(a , e^a) and

  4. calculus

    for the given functions f and g, find the following and state the domain of each. f(x)=square root x; g(x)=5x-1 a. (f*g)(x)= ? what is the domain of f*g? b. (f/g)(x)=? what is the domain of f/g? please show work

  5. MATH

    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 A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work

  6. You did letter B for me, can you check my work?

    if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(x)and the domain of f of g B) (g of f)(x) and the domain of g of f C) (f of h)(x) and the domain of f of h A) f(g(x)) =lnx(e^3x) domain x>0 C)f(h(x)) =lnx(x^4) x>4

  7. College Algebra

    Consider the function f(x)=4 - x^2 for the domain [ 0,∞). Find f^−1 (x), where f^−1 is the inverse of f. Also state the domain of f^−1 in interval notation. f^-1 (x) = ___ for the domain ___

  8. Calc

    Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their domains. f(x)= square root of x, g(x)= cube root of 1-x These are my answers, but I am not sure about them and I only figured out one domain... that is the part that really confuses me.

  9. 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

  10. Math

    1) Let f(x)=9x-2;g(x)=under square root 3x+7. Find each of the following. A) domain of (f+g) B) domain of fg C) domain of f/g (my answer is all r real number am i right?) 2) Let f(x)=3x-2;g(x)=5x+1. Compute the indicated value. A) (fogof)(2) i don't get

  11. Math Analysis

    4. Find f(x) + g(x) when f(x) = x^(1/2) and g(x) = 6x^(1/2). ===> I got the square root of 7x. Is this right? 16. Find f(x)/g(x) when f(x) = (2x)^(1/2) and g(x) = 2*(sqrt2)*x^(1/3). ===> I got (sqrt2x) / (3*cubertx), but I definitely don't think this is

  12. algebra

    2. The function f is defined as follows f(x)={4+2x if x0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain? a) The domain of the function f is

  13. calculus

    sorry to ask a second question so soon, but i'm just not getting this one. if f(x)= 3x lnx, then f'(x)=? i used f'(x)=3x(D lnx) + D (3x) (lnx) f'(x)=3x (1/x) + 3 (lnx) so... f'(x)=3+3lnx or 3(1+lnx). unfortunately that isn't one of the possible answers

  14. Calculus

    What is the domain and range of the following function? f(x)= - sqrt(-lnx+2) For the domain, I got 0

  15. Calculus

    Find the derivative of y with respect to x. y= [(x^5)/5]lnx-[(x^5)/25] How would I go about doing this? Should I use the product rule to separate (x^5)/5]lnx ?

  16. Algebra

    Could you please check my answers and help me with one? Find the domain of the function. f(x)=-8x-2 -I got the domain being (negative infinity, postive infinity). g(x)= 3x/x^2 -49 (This one I don't understand how to find the domain)

  17. college algebra

    1.for the given function f&g, find the following and state the domain of each result. f(x)=2x+1/9x-5; g(x) 4x/9x-5 a.(f+g)(x)=? What is the domain? b. (f/g)(x)=? what is the domain? 2.the function f is defined as follows {x+6 if -5 ¡Üx1 a. the domain of

  18. Algebra-I'm still stuck

    The one-to-one function f is defined by f(x)=(4x-1)/(x+7). Find f^-1, the inverse of f. Then, give the domain and range of f^-1 using interval notation. f^-1(x)= Domain (f^-1)= Range (f^-1)= Any help is greatly appreciated. Algebra - helper, Wednesday,

  19. 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

  20. algebra

    if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(x)and the domain of f of g B) (g of f)(x) and the domain of g of f C) (f of h)(x) and the domain of f of h please show work

  21. Math

    If f(x)-lnx,g(x)=e^8x, and h(x)=x^7, find the following: a. (f.g)(x). what is the domain of f.g? b.(g.f)(x). what is the domain of g.f? c. (f.h)(x). what is the domain of f.h? I have no clue how to do this. Somebody please help me?? please???

  22. calculus

    (a) find the intervals on which f is incrs or decrs. (b) find the local min/max values of f. (c) find the intervals of concavity and the inflection points. f(x)=(lnx)/sqrtx I took the derivative and got 2-lnx/2x^3/2 take the values when f'(x) >0 I get

  23. Calculus

    Find the derivatives, dy/dx for the following functions. a. x^2y^4 = lnx + 3y b. y = ln(2x^2 + 1) c. y = ln(ãx) d. y = lnx/x e. y = x^2 lnx f. y ß log_2⁡(3x)

  24. 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

  25. Pre-Cal.

    find the domain, range and the asymptote(s), of each function on the same coordinates plane for this equation... f(x)= 3+ lnx and graph them.

  26. AP Calc. AB

    1.Which function is NOT continuous everywhere? A.y=(4x)/(x+1)^2 B.y=|x| C.y=(x)/(x^2+1) D.y=√(x^2+1) E.y=x^(2/3) 2.State the domain f(x)= √((x+6)) sinx 3. Let h(x) {(sin2x)/x, if x ≠ 0 {a, if x=0 find the value of a so that hi s continuousat x=0 a.

  27. Calculus check and help

    Let R be the region bounded by the curves y=lnx^2 and y=x^2-4 to the right of the y-axis. A. Find the area of R. B. Find the folume geneated when R is rotated about the line y=-4. C. Write, but do not evaluate the integral expression that gives the volume

  28. Math

    Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which I am not to sure

  29. Math

    Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which I am not to sure

  30. Math

    I cant figure this question out. I could use some help. Solve for x lnx-lnx^2+ln5 = 0 Simplify the answer

  31. Math logs

    Solve the system of equations: y= (lnx)^2 + 2 (lnx^2) y = 3ln(1/x^2)+24 Im not sure what to do..

  32. Calculus

    Find the limit as x approaches infinity of (lnx)^(1/x). This unit is on L'Hopital's rule. I know that the answer is 1, I just don't know how to get there. I tried taking the ln of everything so that you have ln(the whole limit) = limx-->infinity

  33. Algebra

    13. Find the domain of y=2x+1 Bobpursley said: The domain of x is not restricted by that equation. Does that mean the domain is all real numbers?

  34. math

    For the given functions f & g find the following and state the domain of each result. f(x)square root x;g(x)=5x-1 a.(f*g)(x)= What is the domain of f*g? b. (f/g)(x)= What is the domain of f/g?

  35. math

    How do I find the derivative of ⌠lnx ⌡π cos(e^(t))dt The question above is asking for the derivative of the integral cos(e^(t)) from pi to lnx

  36. Calculus

    Evaluate the function below from x = 1 up to x = 4. ∫(7−lnx(x)(3+lnx))dx

  37. College Algebra

    For the given functions f and g, find the following and state the domain of each result. f(x)=√x;g(x)=7x-2 (a)(f*g)(x)= What is the domain of f*g? (b) (f/g)(x)= What is the domain of f/g?

  38. math: pre-calculus

    Let u=ln and v=ln y. Write the expression ln(5√(x3√y)) in terms of u and v. for example, lnx^3y = lnx^3+lny = 3lnx+lny = 3u+v

  39. algebra

    For the given functions f and g, find the following and state the domain of each result f(x)=sqrtx;g(x)=3x-2 a) (f times g)(x)=___ What is the domain of f times g? b) (f/g)(x)=____ what is the domain of f/g?

  40. Algebra

    23. The ___ axis represents the independent variable. X? 21. Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above

  41. 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?

  42. help college algebra

    given the following piecewise function f(x) = -x+1 for x

  43. Math

    HELP PLEASE!!! I'm having some trouble with this question on my Maths hw. Any help is appreciated:) Identify the domain and range of the function. y=-0.25x^2 1. domain: (-oo, 0] range: (-oo, oo) 2. domain: (-oo, oo) range: (-oo, 0] 3. domain: (-oo, oo)

  44. 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).

  45. Algebra

    I have some problems that I need help with please. Thanxs! Find the domain of the function. 1. f(x)=-8x-2 Given fuctions f and g, perform the indicated operations. 2. f(x)=4x-9 g(x)=7x-3 find f - g. Given the functions f and g, determine the domain of f +

  46. MAth

    how do i find the domain and range of equations? example: f(x)=ab.solute value of x-3. f(x)=square root 36-x^2 g(x)=-2x+2. how would i know what the domain and range is of these. could i use a graphing calculator to tell me the domain and range??

  47. Math Please Check

    Please tell me if this are right. Thank you! Find the exact location of all the relative and absolute extrema? h(t) = t^3 - 3t^2 domain: [-1, + infinity) For this one I got x=2 as the minimum, and x=0 as the maximum. g(t) = 3t^4 - 16t^3 + 24t^2 +1 domain:

  48. college algebra

    1. answer the following for the given quadratic function f(x)=x^2+10x-11 a.what is the vertex (h,k) of f? b. what is the axis of symmetry? Please show work. 2. if f(x)=Inx, g(x)=e^5x, and h(x)=x^6 find the following a. find (fog)(x)= what is the domain of

  49. calculus

    The volume of a solid is given by V=pi x^2(lnx)^2. what is the approximate change in the volume when x is increased from 2.718 to 3.000? dv= PI 2x(lnx)^2 dx + Pix^2 *2lnx * 1/x reduce that. For x, use 2.718 dx= 3-2.718 check my thinking.

  50. calculus

    given the following piecewise function x+11 for -9

  51. alg 1

    Quadratic graphs and their properties: Identify the domain and range of each function: y = 4x^2 - 3 I have no idea how to find the range and domain. Would you please explain in detail how I can determine the domain and range in the quadratic problems?

  52. Calculus

    Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their domains. f(x)= square root of x, g(x)= cube root of 1-x These are my answers, but I am not sure about them and I only figured out one domain... that is the part that really confuses me.

  53. Algebra

    Given the following piecewise function f(x)= {-x+1 for x < 0 {-1 for 0 ≤ x ≤ 3 {-2x for x > 3 a) Find the domain b) Find the range c) Find the intercepts d) Is f continuous on its domain? If not, state where f is discontinuous. e) Graph the function

  54. PLEASE HELP! college algebra

    Given the following piecewise function f(x)= {-x+1 for x < 0 {-1 for 0 ≤ x ≤ 3 {-2x for x > 3 a) Find the domain b) Find the range c) Find the intercepts d) Is f continuous on its domain? If not, state where f is discontinuous. e) Graph the function

  55. L'Hopital's rule

    Find lim x->1+ of [(1/(x-1))-(1/lnx)]. Here is my work... =(lnx-(x-1)) / ((x-1)(lnx)) =(lnx-1) / (lnx+ (x+1)/x) This becomes(1/x) / ((1/x)+(1/x^2)) which becomes 1/ (1/x^2) This equals 1/2. I understand the answer has to be -1/2, but I am having trouble

  56. college alg :(

    if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following A)(f of g)(x)and the domain of f of g B) (g of f)(x) and the domain of g of f C) (f of h)(x) and the domain of f of h

  57. Calculus 1

    Find the derivative of y with respect to x. y=(x^6/6)(lnx)-(x^6/36) So far this is what I've gotten: y=(x^6/6)(lnx)-(x^6/36) y=(1/6)x^6(lnx)-(1/36)x^6 y'=(1/6)x^5(1/x)+lnx(x^5)-(1/6)x^5 What do I do now?

  58. Calculus

    what is the limit as h approaches 0 of ((x+h)^pi-x^pi)/h? Multiple choice answers: A: lnx B: lnx (x^pi) C: Pi lnx D: (pi^2) ln (x^2) E: (pi^x) lnx I know this is d/dx x^pi, or Pi x^(Pi-1)

  59. Math

    Find the coordinates of the turning point and determine wether it is minimum or maximum. y=xlnx-2x The answer in the book says the co-ordinates are (e,-e), the closest I have come is (1/lnx,-1/lnx) which works if 1/lnx=e, but I don't think that it does.

  60. precalculus

    given functions f,g, and h find f o g o h state exact domain. show work f(x)=1/x g(x)=lnx h(x)=2x+15

  61. Pre-Cal.

    find the inverse of the following function. Find the domain, range,and asymptotes of each function. Graph both functions on the same coordinate plane. f(x)=3+lnx

  62. precal

    For the given functions f, g, and h, find fogoh and state the exact domain of fogoh. Please show all of your work. f(x)=lnx g(x)=|x|-2 h(x)=4x-7

  63. Math

    Find all vertical and horizontal asymptotes for the graph of y=lnx/lnx-1

  64. calculus

    Find the minimum distance between the curves y=e^x and y=lnx. Hint: Use the fact that e^x and lnx are inverse relationships. I have no idea where to start. Thanks!

  65. calc 1

    describe the domain of: h(x)=(sqrt(4-x)*lnx)/((e^x)sinx)

  66. College Calc

    Problem: y=sqrtx ^1/x. Find DY/DX. ln(f(x))=lnx^1/2x or lnx to the 1/2x 1/2x lnx product rule (1/4x^2)(lnx)+(1/x)(1/2x) is the product rule correct? What do i do after this product rule?

  67. math

    I am suppose to simplify the following problems: sqrt(x)/x (isn't that already simplified?) e^(1+lnx) (I have no clue.) ln(1/2) (I know this problem translates--> e^x=1/2--> but how would you solve it w/o a calculator?) e^(3lnx) ([e^(lnx^3)]--> is it equal

  68. calculus

    find dy/dx 1. y=(lnx)^3 2. y=x^4lnx 3. y=sin^3(lnx)

  69. calc

    integral of 1 to e^4 dx/x(1+lnx) 1+lnx = a => dx/x = da dx/ x(1+lnx) = da/a int of da/a = In(a) =>int of dx/ x(1+lnx) = In(1+In(x)) + C from 1 to e^4 for int of dx/ x(1+lnx) = In(1+In(1)) - In(1+In(e^4)) In(1+In(1)) - In(1+In(e^4)) = -In(5) =~ -1.60944 I

  70. calc

    f(x)=3x^ln(x), find f '(9). i can't find the answer :( I got 3x^lnx(((ln(lnx))/x)+ 1/lnx)

  71. math: pre-calculus

    Let u=lnx and v=lny. Write the expression ln3√x/2y in terms of u and v. For example, lnx^3y=lnx^3+lny=3lnx +lny= 3u+v.

  72. Math

    The domain of g(x) is -1< x < 9 What is the domain of g(x - 4) I know the Domain: ?< x

  73. math

    how would you solve for y in this problem: ln(y-1)-ln2 = x +lnx ln(y-1)-ln2 = x +lnx Solve for y... ln[(y-1)/2]]=x + lnx take the antilog of each side (y-1)/2= e^(x+lnx) solve for y.

  74. calculus

    f(x) = ln(ln(lnx)) has the domain of (e, infinity). I am not sure how this occurs however. I know in the case of ln x, x must be greater than 0. However where does e come from. e is the base of log in the case of ln, but something is just not clicking for

  75. Logarithms

    lnx^5 - lnx^2 = 3 solve for the unknowns as a list. I tried using my calculator but apparently my answer is opposite ends of the universe

  76. CALC

    i still need help on this...integrate (-2)/(xln^4(x) dx...should i be using substitution ...if yes then wut should i substitute? plz help me..thanks in advanced! at is wrong with u= 1/x and dv= dx/ln^4(x) ? remember d/dx (lnx)^-n= (-n/x)*lnx)^(n-1) okey

  77. Calculus

    Evaluate the definite integral. dx/(x*sqrt(lnx)) from 1 to e^4 I'm having trouble figuring this out, I might be overthinking it. The way I've approached this is by using u substitution and letting u=lnx. I keep getting the wrong answer though. Help is

  78. Small Group Communication

    Regulating participation, climate making, and maintaining mutual respect are all part of the ___________. task domain, interpersonal domain, procedural domain, work domain, or life skills domain. I believe this is the life skills domain.

  79. Pre-Calc

    Suppose that f has a domain of A and g has a domain of B. (a). What is the domain of f + g? (b). What is the domain of fg? (c). What is the domain of f/g? Is there a mathematical rule or theorem for this type of question?

  80. college algebra

    For the given functions f and g find the following and state the domain of each. f(x)=sqrt x; g(x)=7x-3 A.what is the domain of f*g? B. What is the domain of f/g? Please show all work.

  81. Math

    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 A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work

  82. calculus

    for the given functions f&g, find the following and state the domain of each result. f(x)=5x+4/7x-8; g(x)=2x/7x-8 a.(f+g)(x)= ? what is the domain? b. (f/g)(x)= ? what is the domain? Please show work

  83. Algebra

    Given the following function rules and domains, find the associated ranges. (a) f(x) = 2x +3, Domain = {0, 1, 2} (b) f(x) = 0, Domain = {0, 1, 2} (c) f(x) = 2x + x2, Domain = {1, 0, 2}

  84. math

    questions involving domain and range... 1. Find the domain of the function f(x)=(3x+1)/(sqrt of (x^2+x-2)) andd. 2. Let f(x)= (absvalue(x))/x. Show that f(x)={ 1, x > 0 {-1, x < 0 Find the domain and range of f(x).

  85. calculus

    1. e^ln3 - 2lnx 2. 2(lnx)^2 + lnx - 1 =0 3. d/dx (e^x . e^e^x)

  86. calculus

    for the given functions f&g, find the following and state the domain of each result. f(x)= 5x+4/7x-8; g(x)= 2x/7x-8 a. (f+g)(x)=? what is the domain? b. (f/g)(x)=? what is the domain?

  87. algebra

    For the given functions f and g, find the following and state the domain of each result f(x)=sqrtx;g(x)=3x-2 a) (f times g)(x)=___ What is the domain of f times g? b) (f/g)(x)=____ what is the domain of f/g?

  88. Math

    Given f(x) = 1/x^2 -4 and g(x)= log, identify the steps you would take to determine the domain of (g ° f) (x). What is the domain of (g ° f) (x)? Would the domain of (f ° g) (x) be the same ? Explain the domain of (f°g) (x)

  89. Math (Calculus)

    Can somebody solve this logarithm problem step by step for me please: 2(lnx)² + lnx-1 = 0 First let y = ln x be a new variable, , and solve the polynomial 2 y^2 + y - 1 = 0 2(y +1)(y - 1/2) = 0 Solutions are y = -1 or +1/2 Thus x = e^y and x= 1/e =

  90. Pre-calculus

    Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19 12 : 6 15 : -7 18 : 6 a) What is the period, frequency, midline, amplitude, maximum, and minimum? b)Find a possible formula for f(t) c)Find the domain and range of f(t) d)Find a formula for

  91. math

    How can I find the restrictions on the domain for this problem: f(x)=1/x. I have no idea how to find the range and domain for problems written like this.

  92. integration

    How do you integrate ; ln(lnx) and x/lnx

  93. math

    solve: x lnx - 30 + 5 lnx - 6x = 0

  94. Calculus

    solve: 14. ln(1/x) = -2 16. lnx + ln(x+2) = ln(x+6) 22. ln(lnx) = 1

  95. Calculus

    Solve for x if 5+lnx=14/lnx.

  96. Calculus (improper integrals)

    the integral from 0 to lnx of lnx/(x^1/2) thanks!

  97. calculus

    how do you determine the convergence of : definite integral from 1--> infinity of lnx/(x^3)? i set the problem as lim (R--->infinity) of the integral of lnx/(x^3) from 1--->R, but i can't compute the integral.

  98. math

    If y = u+ 2e^u and u = 1+lnx, find dy/dx when x= (1/e) ?

  99. calculus

    find f'(x) -4x^2 lnx

  100. math

    find the domain of the composite function fog. f(x)=x/x-2;g(x)=-8/x a. domain of fog is {x/?} b. the domain of fog is all real numbers

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