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advanced functions

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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 has 2 zeros - one has ...

Advanced Functions
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

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.

Check my CALCULUS answers please!
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 ...

Advanced functions/precalculus
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) = ...

advanced functions. gr.12
2^2x+ 3(2^x) - 10 = 0 6^2x-2(6^x)-15=0 3^4^5^x =336

Advanced functions
Solve: a) 1/(2^x) = 1/(x+2) b) 1/(2^x) > 1/(x^2)

Advanced Functions
Solve: (1/2^x) > (1/x^2)

Advanced Functions 2
How do you simplify (x^a+b)^a-b / (x^a-2b) ^ a+2b

advanced functions/precalculus
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...

advanced functions
Solve for x, x ϵ R a) (x + 1)(x – 2)(x – 4)2 > 0

advanced functions
Prove that: csc^2x = 1 + cot^2x

advanced functions
Solve 2tan^2x + 1 = 0 Interval : [0, 2 pi]

math(advanced functions)
what are the key features of x/(x^2-3x+2)?

math(advanced functions)
what are the key features of x/(x^2-3x+2)?

Advanced Functions
h = 8 sin [π/10(t-5) ] + 9 covert to cosine??

Advanced Functions
4cos2x - cosx-3 =0 0 to 2pi

Advanced functions
Solve x^3 -3x^2 +5x +4 = 0 using Tartaglia's method.

Advanced functions
Solve x^3 -3x^2 +5x +4 = 0 using Tartaglia's method.

Advanced Functions
How do you write -1/9 x^-1 with a positive exponent? also, -5 x^-2 ??

advanced functions
Solve for x, x ϵ R ¨Cx3 + 25x ¡Ü 0

advanced functions
Prove that cscx / cosx = tanx + cotx

advanced functions
Solve the inequality 12x^3 + 8x^2 <= 3x + 2. Justify your answer.

advanced functions
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) ...

Advanced Functions
Determine the value of Tan2x when Sinx = -12/13 and 3pi/2 < x < 2pi.

12th grade-Advanced functions
Given that f(x)=g(x/3), describe how the graph of f and g are related?

12th grade-Advanced functions
the y-intercept of the graph of y=k(x-1)(x-2)(x-3) is 24 Determine the value of k.

Grade 12 Advanced Functions
The polynomial 2x^3+px^2-x+6 has a remainder of zero when divided by x-2. Calculate p.

gr 12. advanced functions
Trig identity Prove: cos2x tan(pie/4 - x) ------- = 1 + sin2x

Advanced Functions
Identify the point of intersection of these two curves: P(t)=300(1.05)^t F(t)=1000(0.92)^t

advanced functions
simplify the rational expression x^4+3x^3-2x^2-6x/x^3-2x stating all restrictions on the variable.

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

advanced functions
Find an equation with the given form in each case below. y=sin through(Ï/2, 0)

Advanced functions
Find the area of a sector of a circle that has a central angle of 3π/8 and a radius of 7 cm.

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...

12th grade-Advanced functions
Determine the instantaneous rate of change of y=tanx at x=1 to 3 decimal places

math advanced functions grade 12
Find the solution set to the following rational inequality, 240/x+8 > 20x/x+1

Advanced Functions
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)

Advanced Functions
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....

advanced functions
Use the Pythagorean Identify to show that the double angle formula for cosine can be written as: cos2x = 2cos^2x - 1

advanced functions
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

advanced functions(trig)
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

Advanced Functions
If a bacteria population doubles in 7 days, when was it half of its present population?

Advanced Functions/Trig
Prove the identity: cos^4 x + sin^4 x = 1 - (1/2)sin^2 (2x)

Grade 12 Advanced Functions
One zero of f(x)=x^3+4x^2+x+c is -3. a) calculate the value of c. b)calculate the other zeros.

advanced functions
Show that tanx = sinx / cosx can be written as tan(x+y) = (tanx + tany) / (1 - tanxtany)

Advanced Functions math
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.

12th grade-Advanced functions
provide any 2 solutions for the equation y=cot(1/2(theta-pi/2))-5 solutions may be in degrees

ADVANCED FUNCTIONS
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..

Advanced Functions
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)

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...

12th grade-Advanced functions
Determine the vertical asymptotes of the graph of graph of y=secx/logx for x≤2pi

Advanced Functions
assume the function f(x) and its inverse f-1(x) are both defined for xer. give a geometric interpretation of the composite function y=f(f-1(x))

advanced functions
Prove that: 2sinxsiny = cos(x-y) - cos(x+y)

Advanced Functions
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]

Advanced Functions
Determine all solutions in the interval x is all real numbers , [0, 2 pi] using a trigonometric identify 2cos^2x + sinx - 1 = 0

Advanced Functions
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?

Advanced Functions
Hello I'm stuck with these two questions The point (1,-2) is on the graph of . Describe the following transformations on , and determine the resulting point. a) g(x)=f(x+1)-3 b) -f(2x)

Advanced Functions
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

advanced functions
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

advanced functions
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

Math-Advanced Functions
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

advanced functions
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.

advanced functions
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.

Advanced Functions
Determine an expression using trigonometric ratios of special angles that simplifies to an answer of sqrt3/2. Use three different angles.

12th grade Advanced Functions
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.

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)](...

Advanced Calculus 2
Construct an example of two Riemann integrable functions whose composition is not Riemann integrable.

advanced functions grd 12
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)

Advanced functions
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

Advanced Functions 12
If every function has "negative odd end behaviour" an "odd" function? Explain our answer, illustrating it with an example.

12th grade - Advanced Functions
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?

Advanced Functions
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.

Advise
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.

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

Advanced Functions
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 :-)

advanced functions
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.

Advanced writing
what is the technical element to write to be advanced?

Advanced Functions/Trig
Prove the following: sin(x+y)sin(x-y) = cos^2 (y) - cos^2 (x)

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

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...

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.

Advanced Functions
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)

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.

Advanced Functions 12
A student writes, "The inverse of y = -√(x+2) is y = x^2 - 2." Why is this statement false? I don't understand how it isnt the inverse. The textbook says that changing the domain will make it the inverse? Wouldn't that only make it a function?

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 ...

Advanced Functions
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!!

Advanced Functions 122
For what values of x is an element of real numbers, will y = 1/sin(x) be undefined? (Where x is understood to be measured in degrees.) I know that for it to be undefined, sin(x) must be 0. Given this I know that x is undefined at: 0,180,360... How would I go about stating this?

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.

advanced functions
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.

Advanced Functions/ Precalculus Log
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!

advanced functions
=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?

advanced functions
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

advanced functions
Prove that 2sinxsiny = cos(x-y) - cos(x+y) Prove that sin2x + sin2y = 2sin(x+y)cos(x-y)

advanced functions
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

Advanced Functions Math
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

advanced functions-logarithms
log(base 10)(x+5)+2log(base10) log(base10)(x+5(10 to the 2nd power) log(base10)(100x+500) I love you china.

Jee advanced
I got 20 days left for jee advanced. How should I manage time table for preparation

Advanced Functions/Precalculus
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

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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