Sunday
May 1, 2016

Number of results: 3,654

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 has 2 zeros - one has ...
January 15, 2014 by Diane

Beginning with the function f(x) = (0.8)x, state what transformations were used on this to obtain the functions given below: g(x) = - (0.8)x -2 h(x) = ½ (0.8)x-2 k(x) = (0.8)-3x+9
January 12, 2011 by Hailey

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.
January 23, 2014 by Liz

Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t 9. Which of the following functions grows the ...
October 7, 2013 by Samantha

1. Given f(x)=x^2 and g(x)=x+2, determine in standard form: a) g(f(x)) b) when f(g(x))=g(f(x)) 2. If f = {(-10, 1), (-1, -1), (10, 0), (11, 7)} and g = {(-1, -1), (0, 10), (1, -10), (7, 11)} for how many values of x is f x g defined? Explain 3. Given f(x) = -2x + 3 and g(x) = ...
January 15, 2014 by Diane

2^2x+ 3(2^x) - 10 = 0 6^2x-2(6^x)-15=0 3^4^5^x =336
August 11, 2009 by ashley

Solve: a) 1/(2^x) = 1/(x+2) b) 1/(2^x) > 1/(x^2)
October 25, 2009 by Anonymous

Solve: (1/2^x) > (1/x^2)
October 25, 2009 by Anonymous

How do you simplify (x^a+b)^a-b / (x^a-2b) ^ a+2b
November 1, 2010 by Ali

1. Given f(x)=x^2 and g(x)=x+2, determine in standard form: a)g(f(x)) b)when f(g(x))=g(f(x)) for #1 would the answer for a be x^2+2? 2. Given the functions f(x)=5x+7 and g(x)=√x state the domain of g(x) and g(f(x)) 3. Why is point (a,a) a point on f-1(f(x)) if (a,b) is a...
January 13, 2014 by Diane

Solve for x, x ϵ R a) (x + 1)(x – 2)(x – 4)2 > 0
July 5, 2013 by FUNCTIONS

Prove that: csc^2x = 1 + cot^2x
November 4, 2009 by ariza

Solve 2tan^2x + 1 = 0 Interval : [0, 2 pi]
November 15, 2009 by -

what are the key features of x/(x^2-3x+2)?
November 4, 2011 by hi

what are the key features of x/(x^2-3x+2)?
November 4, 2011 by hi

Solve x^3 -3x^2 +5x +4 = 0 using Tartaglia's method.
October 25, 2009 by josh

Solve x^3 -3x^2 +5x +4 = 0 using Tartaglia's method.
October 25, 2009 by josh

How do you write -1/9 x^-1 with a positive exponent? also, -5 x^-2 ??
November 1, 2010 by Ali

Solve for x, x ϵ R ¨Cx3 + 25x ¡Ü 0
July 5, 2013 by FUNCTIONS

Prove that cscx / cosx = tanx + cotx
November 7, 2009 by ariza

Solve the inequality 12x^3 + 8x^2 <= 3x + 2. Justify your answer.
October 20, 2013 by Rinchan

The revenue and cost functions for the housing developer are: C(n) = 8 + 0.065n R(n) = 1.6 √n Suppose that the developer found a way to reduce her variable cost to \$58 000 per house. How would this affect: i) the minimum and maximum number of houses she could build? ii) ...
January 11, 2010 by Anonymous

Determine the value of Tan2x when Sinx = -12/13 and 3pi/2 < x < 2pi.
January 14, 2009 by Lisa

Given that f(x)=g(x/3), describe how the graph of f and g are related?
July 30, 2010 by aaron

the y-intercept of the graph of y=k(x-1)(x-2)(x-3) is 24 Determine the value of k.
July 30, 2010 by aaron

The polynomial 2x^3+px^2-x+6 has a remainder of zero when divided by x-2. Calculate p.
October 13, 2011 by Rebecca

Trig identity Prove: cos2x tan(pie/4 - x) ------- = 1 + sin2x
November 21, 2009 by avm

Identify the point of intersection of these two curves: P(t)=300(1.05)^t F(t)=1000(0.92)^t
January 4, 2010 by Anonymous

simplify the rational expression x^4+3x^3-2x^2-6x/x^3-2x stating all restrictions on the variable.
July 30, 2010 by tim

If cos A= -6/7, in quadrant 2, determine the exact value of tan 2A I don't understand how to do this?
March 22, 2015 by Jennifer

Find an equation with the given form in each case below. y=sin through(Ï/2, 0)
January 21, 2008 by Mel

Find the area of a sector of a circle that has a central angle of 3π/8 and a radius of 7 cm.
January 31, 2016 by Vicky

science
Are multi cellular organisma more advanced that unicellular organisma. Why or why not Mutlicellular organisms have cells that have specialized in various functions. Would you call that more advanced? Since this is not my area of expertise, I searched Google under the key words...
October 4, 2006 by sharon

Determine the instantaneous rate of change of y=tanx at x=1 to 3 decimal places
July 30, 2010 by sean

Find the solution set to the following rational inequality, 240/x+8 > 20x/x+1
July 24, 2012 by illiah

How do I verify this identity? (I've tried a lot but it's just not working) (sin2x + sin2y) = 2sin(x+y)cos(x-y)
January 17, 2013 by Zack

Prove (sin4x)/(1-cos4x) = cotx - 1/2(cscxsecx) Please help me get started on this question... I'm at a lost as for what to do first....
April 30, 2015 by Sarah

Use the Pythagorean Identify to show that the double angle formula for cosine can be written as: cos2x = 2cos^2x - 1
November 2, 2009 by Anonymous

Determine approximate solutions for this equation in the interval x is all real numbers [0, 2pi), to the nearest hundredth of a radian: cosx + 0.75 = 0
November 13, 2009 by -

solve for x, to the nearest degree, in the interval 0degres less than andequal to x greater than and equal to 360degrees. cos^2x=1 4cos^2x=1
January 5, 2010 by 123university

If a bacteria population doubles in 7 days, when was it half of its present population?
January 12, 2011 by Nik

Prove the identity: cos^4 x + sin^4 x = 1 - (1/2)sin^2 (2x)
May 5, 2013 by Zack

One zero of f(x)=x^3+4x^2+x+c is -3. a) calculate the value of c. b)calculate the other zeros.
October 13, 2011 by Rebecca

Show that tanx = sinx / cosx can be written as tan(x+y) = (tanx + tany) / (1 - tanxtany)
November 8, 2009 by -

Could someone help me with this question? 5^(2x) - 4^(5^x) = 12 I got up to log (5^x)= log(-4) but it isnt correct since it can't be negative.
January 18, 2010 by Diana

provide any 2 solutions for the equation y=cot(1/2(theta-pi/2))-5 solutions may be in degrees
July 19, 2010 by aaron

What is the domain of the composite function of f(x)=x^2 and g(x)=sin x when (g o f)(x) and (f o g)(x)?? when i joined the two function it looks the same to me..
June 10, 2013 by Anonymous

how do i solve this linear inequality equation x+2 divided by 2 greater than/equal to x-2 divided by 4 answer is [-10, infinity)
August 5, 2011 by Anonymous

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 functions that can be made...
September 13, 2007 by Kelly

Determine the vertical asymptotes of the graph of graph of y=secx/logx for x≤2pi
July 30, 2010 by aaron

Prove that: 2sinxsiny = cos(x-y) - cos(x+y)
November 8, 2009 by -

Determine the solutions for: (cos x)/(1 + sinx) + (1 + sinx)/(cosx) = 2 in the interval x is all real numbers, such that [-2 pi, 2pi]
November 20, 2009 by Anonymous

Determine all solutions in the interval x is all real numbers , [0, 2 pi] using a trigonometric identify 2cos^2x + sinx - 1 = 0
November 22, 2009 by Anonymous

The earth rotates on its axis once every 24 hours. How long does it take Earth to rotate through an angle of 4(pi)/3?
November 14, 2011 by Rebecca

A rectangle has perimeter 64cm and area 23cm squared. Solve the following system of equations to find the rectangle's dimensions. l=(23/w) l+w=32
October 24, 2009 by Anonymous

Use the Pythagorean identity to show that the double angle formula for cosine can be written as a) cos2x = 1 - 2sin^2x b) cos2x = 2cos^2x - 1
November 2, 2009 by Anonymous

An investment pays 8% interest, compounded annualy. Write an ewuatiin that expressed the amount A, of the investment as a function of time, t, in years
November 27, 2009 by Anonymous

I am having trouble figuring out how to solve this logarithms. Could someone please help! log2(log4x)=1 and solve for x and y: (1/2)^x+y= 16 logx-y8=-3
January 23, 2011 by Chloe

A generator produces electrical power, P, in watts, according to the function P(R)=(120R)/(0.4+R)^2, where R is the resistance, in ohms. Determine the intervals on which the power is increasing.
October 25, 2009 by Anonymous

I need help figuring this question out please :) log2=log(x+5)-1 I have been studying for my test and this is a question i got stuck on.
May 25, 2011 by oranges

Determine an expression using trigonometric ratios of special angles that simplifies to an answer of sqrt3/2. Use three different angles.
November 19, 2013 by Sara

A generator produces electrical power, P, in watts, according to the function: P(R)= 120/ (0.4 + R)^2 where R is the resistance, in ohms. Determine the intervals on which the power is increasing.
October 25, 2009 by Anonymous

Math
So I have a question regarding advanced functions, logarithm stuff. here is the question: Beginning with the function f(x) = log[base(a)]x ,state what transformations were used on this to obtain the functions given below: a) p(x) = -(5/8) log [base(a)]x b) r(x) = log[base(a)](...
April 7, 2013 by Matthew

Construct an example of two Riemann integrable functions whose composition is not Riemann integrable.
June 8, 2011 by Ashley

im not sure wheer to start and how to do solve this problem solve: cosX(2sinX-3^1/2)=0 ,0<(or equal to)X<(or equal to)2(pie sign)
May 8, 2012 by kerry

if a car is moving at some speed and then goes twice as far, would the braking distance be twice as far? yes or no? explain
September 29, 2015 by Gabriella

the height, h, in meters, of a gold ball t seconds after is is hit can be modelled by the function: h (t) = 4.9t^2 + 32t + 0.2. When is the height of the ball 15 m?
July 19, 2010 by Nish

Consider the trig equation: 4sinxcos2x + 4cosxsin2x - 1 = 0 in the Interval [0, 2 pi] Either show that there is no solution to the equation in this domain, or determine the smallest possible solution.
November 16, 2009 by Anonymous

Ok, I am going to grade 12 and my university requires a 90% for advanced functions. In grade 11, I got a 78% with no tutoring. Is there who is willing to help me free of cost for tutoring or even websites that would help me.
September 3, 2010 by prethy

Math
Can someone please help me with piecewise functions. I know what they are but when it gets to advanced i have ttrouble. s(x)= /x-2/ + /x-3/ + /x+1/ (/ / = 'modulus') Write as a piecewise defined function. Have no idea tbh. Thanks
June 1, 2015 by Alex

What are the restrictions on the variable x in the following equation? Why do these restrictions exist? log(x-2)-log(3x-5)=5 Thanks for your help :-)
December 21, 2011 by Rebecca

Marko rides 10 km north of his home on his mountain bike. He reaches an abandoned railroad, turns through an angle of 120° onto the railroad, and then rides another 20 km.
January 31, 2015 by Juhi

what is the technical element to write to be advanced?
January 8, 2009 by Noble

Prove the following: sin(x+y)sin(x-y) = cos^2 (y) - cos^2 (x)
April 21, 2013 by Zack

Early Childhood
A preschooler with a vocabulary of about 4,000 words would be considered: A. a slow developer. B. advanced. C. very advanced.
February 19, 2015 by cynthia

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 the functions: f(x...
January 26, 2015 by Jenny

How would I do this: -cos(90-x) I know you would use the compound angle formula and I know how to do it but when you have -cos do you replace the cos with the negative? so for example -cos90(-cosx) + sinx(sin90)
November 14, 2015 by Mandy

Early Childhood
A preschooler with a vocabulary of about 4,000 words would be considered: a)a slow developer. b)advanced. c) very advanced. d) moderately delayed.
August 30, 2011 by SherryOG

University
Will I get a conditional offer to McMaster in the first round? The following is the admission for Commerce I to McMaster: "Grade 12 U/M course requirements: * English U * Advanced Functions 4U * One of: Calculus & Vectors 4U or Mathematics of Data Management 4U (additional ...
January 31, 2008 by Anonymous

Two soccer players start at opposite sides of an 80-m field. One runs at 4 m/s and the other runs at 5 m/s. If they run back and forth for 15 mins, how many times will they pass each other? **The answer is 25 but I keep getting 45!!
September 25, 2012 by laura

Functions in Math
Im looking at internet sites and Im not quite understanding functions. I have a question like; A function f(x) has the properties i) f(1) = 1 ii) f(2x) = 4f(x)+6 Could you help me out. I know nothing about functions.
October 15, 2007 by Lena

Angles x and y are located in the first quadrant such that sinx=3/5 and cosy=5/13. a) Determine an exact value for cosx. b) Determine an exact value for siny.
November 1, 2009 by Anonymous

If (x, y) is on the graph f(x) = log(base10)x, state the coordinates (in terms of x and y) that would be on the graph of f(x) = 2log(base10)(x - 4) + 3? Can you please explain how to answer this question? Thanks!
December 20, 2013 by Jessie

=the height in metres of a weather ballon above the ground after t seconds can be modelled by the function h(t)=-2t^3+3t^2+149, for 0<t<10. when is the ballon exactly 980 m above the ground?
February 20, 2014 by lisa

Angle a lies in the second quadrant and sina=7/25. a) Determine an exact value for cos 2a b) Determine an exact value for sin 2a
November 2, 2009 by Anonymous

Prove that 2sinxsiny = cos(x-y) - cos(x+y) Prove that sin2x + sin2y = 2sin(x+y)cos(x-y)
November 4, 2009 by ariza

solve the first equation in each pair of equations or y and /or z. Then use the same strategy to solve the second equation for x in the interval 0<= x<= 2pie. y^2= 1/3, tan^2x = 1/3 yz= y, tan x sec x = tanx
January 5, 2010 by 123university

Given the equation y=2^x, predict the equation for the graph that has been reflected in the y-axis. Given a vertical stretch by a factor of 5, translated 2 units right and 5 units down
January 29, 2011 by Sarah

log(base 10)(x+5)+2log(base10) log(base10)(x+5(10 to the 2nd power) log(base10)(100x+500) I love you china.
March 7, 2007 by daniel

I got 20 days left for jee advanced. How should I manage time table for preparation
May 5, 2015 by JD

1. The expression sinπ is equal to 0, while the expression 1/cscπ is undefined. Why is sinø=1/cscø still an identity? 2. Prove cos(ø + π/2)= - sin ø
December 6, 2013 by john

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
December 31, 2015 by Matt

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
January 1, 2016 by Matt

Trigonometry Questions 1.) Find the exaqct value of tan(11π/12) 2.) A linear trig equation involving cosx has a solution of π/6. Name three other possible solutions 3) Solve 10cosx=-7 where 0≤x≤2π
December 4, 2013 by john

x and y represent two angles in standard position. x has its terminal arm in the first quadrant and y has its terminal arm in the third quadrant. If cosx=5/13 and cosy = -5/13 then find the value of 2sinx+2siny+2cosx-2tanx+tany+2cosy
November 19, 2013 by Sara

The manufacturer of a propeller for a small aircraft mandates a maximum operating angular velocity of 300 rad/s. Determine whether it is safe to install this propeller on an aircraft whose engine is expected to run at a maximum of 2800 rpm.
November 8, 2009 by -

1. If (x, y) is on the graph f(x) = log(base10)x, state the coordinates (in terms of x and y) that would be on the graph of f(x) = 2log(base10)(x - 4) + 3? 2. Estimate the value of log(base 3)91 Can you please explain how you arrive at the answer since I do't understand them. ...
December 20, 2013 by Jessie

Math
The beginning tennis class has twice as many students as the advanced class. The intermediate class has three more students than the advanced class. How many students are in the advanced class if the total enrollment for the three tennis classes is 39? A. 10 B. 15 C. 9 D. 12 ...
March 22, 2013 by Amy

A company uses the function C(x)=20.50+2000, where C is the cost and x is the number of units it produces, to determine its daily costs. Find the inverse of the function and determine how many units are produced when the cost is \$625,000.
January 25, 2013 by Anonymous

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.
July 29, 2009 by Alicia

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