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
alebra
Let f(x)=2x^2+x3 and g(x)=x1. Perform the indicated operation then find the domain. (f*g)(x) a.2x^3x^24x+3; domain:all real numbers b.2x^3+x^23x; domain: all real numbers c.2x^3+x^2+4x3; domain: negative real numbers d.2x^3+x3x+3; domain: positive

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) = √(1x) The Domain of (f∘g)(x) is : (f∘g)(x) = The Domain of (g∘f)(x) is : (g∘f)(x) =

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

calculus
for the given functions f and g, find the following and state the domain of each. f(x)=square root x; g(x)=5x1 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

MATH
for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x9; g(x)=5x/8x9 A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work

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

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 ___

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 1x 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.

college alg
for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x9; g(x)=5x/8x9 (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

Math
1) Let f(x)=9x2;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)=3x2;g(x)=5x+1. Compute the indicated value. A) (fogof)(2) i don't get

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

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

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

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

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 ?

Algebra
Could you please check my answers and help me with one? Find the domain of the function. f(x)=8x2 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)

college algebra
1.for the given function f&g, find the following and state the domain of each result. f(x)=2x+1/9x5; g(x) 4x/9x5 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

AlgebraI'm still stuck
The onetoone function f is defined by f(x)=(4x1)/(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,

Calculus
Explain, using the theorems, why the function is continuous at every number in its domain. F(x)= 2x^2x3 / 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

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

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???

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 2lnx/2x^3/2 take the values when f'(x) >0 I get

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)

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

PreCal.
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.

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.

Calculus check and help
Let R be the region bounded by the curves y=lnx^2 and y=x^24 to the right of the yaxis. 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

Math
Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x5 Find f/g and its domain. So I did 4x+3/4x5, 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

Math
Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x5 Find f/g and its domain. So I did 4x+3/4x5, 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

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

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..

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

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?

math
For the given functions f & g find the following and state the domain of each result. f(x)square root x;g(x)=5x1 a.(f*g)(x)= What is the domain of f*g? b. (f/g)(x)= What is the domain of f/g?

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

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

College Algebra
For the given functions f and g, find the following and state the domain of each result. f(x)=√x;g(x)=7x2 (a)(f*g)(x)= What is the domain of f*g? (b) (f/g)(x)= What is the domain of f/g?

math: precalculus
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

algebra
For the given functions f and g, find the following and state the domain of each result f(x)=sqrtx;g(x)=3x2 a) (f times g)(x)=___ What is the domain of f times g? b) (f/g)(x)=____ what is the domain of f/g?

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

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?

help college algebra
given the following piecewise function f(x) = x+1 for x

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)

PreCal: 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).

Algebra
I have some problems that I need help with please. Thanxs! Find the domain of the function. 1. f(x)=8x2 Given fuctions f and g, perform the indicated operations. 2. f(x)=4x9 g(x)=7x3 find f  g. Given the functions f and g, determine the domain of f +

MAth
how do i find the domain and range of equations? example: f(x)=ab.solute value of x3. f(x)=square root 36x^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??

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:

college algebra
1. answer the following for the given quadratic function f(x)=x^2+10x11 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

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= 32.718 check my thinking.

calculus
given the following piecewise function x+11 for 9

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?

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 1x 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.

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

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

L'Hopital's rule
Find lim x>1+ of [(1/(x1))(1/lnx)]. Here is my work... =(lnx(x1)) / ((x1)(lnx)) =(lnx1) / (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

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

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?

Calculus
what is the limit as h approaches 0 of ((x+h)^pix^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^(Pi1)

Math
Find the coordinates of the turning point and determine wether it is minimum or maximum. y=xlnx2x The answer in the book says the coordinates 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.

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

PreCal.
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

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)=x2 h(x)=4x7

Math
Find all vertical and horizontal asymptotes for the graph of y=lnx/lnx1

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!

calc 1
describe the domain of: h(x)=(sqrt(4x)*lnx)/((e^x)sinx)

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?

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

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

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

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

math: precalculus
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.

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

math
how would you solve for y in this problem: ln(y1)ln2 = x +lnx ln(y1)ln2 = x +lnx Solve for y... ln[(y1)/2]]=x + lnx take the antilog of each side (y1)/2= e^(x+lnx) solve for y.

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

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

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)^(n1) okey

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

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.

PreCalc
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?

college algebra
For the given functions f and g find the following and state the domain of each. f(x)=sqrt x; g(x)=7x3 A.what is the domain of f*g? B. What is the domain of f/g? Please show all work.

Math
for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x9; g(x)=5x/8x9 A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work

calculus
for the given functions f&g, find the following and state the domain of each result. f(x)=5x+4/7x8; g(x)=2x/7x8 a.(f+g)(x)= ? what is the domain? b. (f/g)(x)= ? what is the domain? Please show work

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}

math
questions involving domain and range... 1. Find the domain of the function f(x)=(3x+1)/(sqrt of (x^2+x2)) 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).

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

calculus
for the given functions f&g, find the following and state the domain of each result. f(x)= 5x+4/7x8; g(x)= 2x/7x8 a. (f+g)(x)=? what is the domain? b. (f/g)(x)=? what is the domain?

algebra
For the given functions f and g, find the following and state the domain of each result f(x)=sqrtx;g(x)=3x2 a) (f times g)(x)=___ What is the domain of f times g? b) (f/g)(x)=____ what is the domain of f/g?

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)

Math (Calculus)
Can somebody solve this logarithm problem step by step for me please: 2(lnx)² + lnx1 = 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 =

Precalculus
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

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.

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

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

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

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

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

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.

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

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

math
find the domain of the composite function fog. f(x)=x/x2;g(x)=8/x a. domain of fog is {x/?} b. the domain of fog is all real numbers