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Math ( composite functions )

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functions
For each problem, construct two composite functions, . Evaluate each composite function for x=2 ok i have not dealt with composite functions can I please get some help with this as I have 20 questions to do can someone show me step by step on how to properly solve this ...

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

algebra functions
construct two composite functions, Evaluate each composite function for x=2. i do not fully understand functions yet can someone explain and show me what to do step by step f(x)=x+1 g(x)=x-2

algebra functions
can someone please check my answer For each problem, construct two composite functions, . Evaluate each composite function for x=2 f(x)=3x g(x)=1/x f(g)*(x)=3x(1)/x x=2 3x(1)/x=6 g(f)*(x)=(3x)=2*3x=6 x=2 3*(2)=6*6=36

algebra functions check my answer
For each problem, construct two composite functions, . Evaluate each composite function for x=2 f(x)=3x g(x)=1/x f(g)*(x)=3x(1)/x x=2 3x(1)/x=6 g(f)*(x)=(3x)=2*3x=6 x=2 3*(2)=6*6=36

math
how to you find a composite function form of y in this problem? y = 1/[(x^2+3x-5)^3] I don't understand your question. Composite functions require two functions. You listed one. Please amplify. That's what I thought at first. But I am thinking I might need to substitute y in ...

algebra functions
can someone help me with this and explain it to me step by step so i can try to solve the remaining problems i have I have no idea of what I am supposed to do For each problem, construct two composite functions, . Evaluate each composite function for x=2. f(x)=x^2: g(x)=x-1/x

Math
Help me for this question on composite functions Does the composition of functions display the commutative property? Give an example of each case to illustrate your answer.

Functions
consider the functions g(x)=(4-x^2)^0.5 and h(x)=(x^2)-5. find the composite functions hog(x) and goh(x), if they exist, and state the domain and range of the composite functions. ------------------------------ ok, i have figured out that hog(x)=-1-X^2, but in my answer ...

Math ( composite functions )
I need some help with composite functions where i have to find the f(g(x)) and g(f(x)) on most of them I just couldn't figure out how to multiply.... 1) f(x) = ³√x-5 , g(x) = x^3 + 1 So I started on this one and i got confused with the cubed f(g(x))=³√(x^3+1)-5 ...

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 g(x) = log x If f = {(-2...

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) = 2x-4 and g(x) = x^2 + ...

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). Thanks!

Functions
I have to find the domain and range for the composite of functions G(x)=sinx and h(x)=x^2-x+1. I'm confused about this and would really appreciate some help. Thanks.

Composite functions math
p(x)=3-2x g(x) = 3(x^2)-7 q(x)=(2-x)/(2x+3) p q g(x) = ?

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 is f(x) is used as the...

calculus
when working with composite functions, does fog=gof? how do i create two functions,f(x) and g(x) to show that this statement is either true or false.i need to explain my reasoning

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 is f(x) is used as the...

Math (Composite Functions)
I don't understand this question at all. If f(x) = 4x - 3 and h(x) = 4x^2 - 21, find a function g such that f ͦ g = h.

Math
Many nations compare the value of their currency to the US dollar. On a day early in 2009, $1 CDN (1 Canadian dollar) was worth $0.8290 USD (US dollar). This is known as an exchange rate. On the same date $1 USD could be used to buy 0.7579 Euros or 0.6709 UK pounds (United ...

Math
Many nations compare the value of their currency to the US dollar. On a day early in 2009, $1 CDN (1 Canadian dollar) was worth $0.8290 USD (US dollar). This is known as an exchange rate. On the same date $1 USD could be used to buy 0.7579 Euros or 0.6709 UK pounds (United ...

Math
I have to find the domain and range for the composite of functions G(x)=sinx and h(x)=x^2-x+1. I'm confused about this and would really appreciate some help. Thanks.

math
The number 5 is A) prime B) composite C) neither prime nor composite D) both prime and composite

Precal/math
for composite functions i have a graph of f(x) and g(x) and i have to find (f⋅g)(0) so is that when f and g is 0 on the x or y?

Algebra
Two functions f and g are defined by f:x = 25 /(3x-2) g:x = x^2 Find the composite function

College Algebra
A new store opens in New York. You received a coupon for $5.00 off a pair of jeans j(x) = x-5. When you get to the store you learn that they are giving a 25% discount d(x)=.75x a) Write a composite function for the cost of the jeans if the 25% discount is applied after the $5....

MATH
Calculate the composite functions f∘g and g∘f. f(x)=6x,g(x)=x8 f(g(x))= g(f(x))=

Math quick question
"If f = {(-2,-1), (-1,2), (0,6), (1,3), (2,-1), (3,-5), (4,0), (5,8)} and g = {(-2,6), (-1,5), (0,-8), (1,3), (2,9), (3,9), (4,0), (5,-2)}, then find f composite g and g composite f."

Algaebra
Two functions f and g are defined by f:x = 25 /(3x-2) g:x = x^2 Find the composite function Please show all calculations, thank you!

math
how would this equation look: y=f(x+3) when y=f(x)= x^2 would it look like so.... x^2(x+3) adam, there's a slight problem with your notation in the expression y = f(x+3). Ordinarily we wouldn't put an expression in place of a variable, unless we were making what is termed a ...

Algebra
give indicated composite for pair of functions (g o f)(x):f(x)=x-3/6, g(x)=6x+3 g(f(x)) g(x-3/6) =6*x-3+3/6 would my answer be: (g o f)(x)=x I am not sure if I answered the problem completely.

RE: Math Urgent
I posted this earlier but I think I phrased it in a confusing way Find g(x) + g(x) if g(x) = {(-4,5), (-2,-3), (0,5), (1,3), (3,-1), (5,5)} and g(x) = {(-3,-2), (-2,6), (-1,0), (1,0), (2,-6), (3,5), (4,0), (6,-2)}. I don't need the whole thing done i'm just very confused on ...

math
can some one please help me with the following questions as i don't understand them please (a) write down the derivative of each of the functions f(x)=E7x and g(x)=cos(2x) using the product rule differentiate the function k(x)=E7xcos(2x) (b)write down the derivative of each of...

Math Analysis
6. Prove that f(x) = (3/4)x^4 + 2 and g(x) = (4sqrt(108x-216))/3 are inverses. I know you solve it with composite functions f(g(x)) and g(f(x)), and I solved f(g(x)), but I can't seem to solve g(f(x)) to equal x, like it should. Can someone show me how to solve this? Thanks :)

Math
I had this question answered before,but I'm totally confused with the answer and need a clearer answer,as I'm totally lost. This is composite functions by the way.

Math Analysis
Let f(x)= x^3, g(x) = sqrt x, h(x) = x-4, and j(x)= 2x. Express the following function k as a composite of three of these four functions. k(x)= sqrt (x^3 - 4) Do I need to factor anything out of the parentheses or something? If you can, please explain this problem to me :) any...

Math - Domain of Composite
Find the domain of the composite function . Please show all of your work. f(x) = sqrt(x); g(x) = 2x + 12

math
Can you explain to us if we have the functions c(t) = 3t + 2, where c is the cost in dollars of t hours of tutoring and t(m) = m2 - 1 where t is hours of tutoring and m is the number of minutes tutored, what the input and output values would be of the composite function c(t(m))?

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..

algebra2
(1.06)(.7x) = .742x (1.06x)(.7) = .742x . how do you compare these composite functions?

Math22
1. Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y= (g(x), f(u)) = 2. Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = ...

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))

Composite Functions
f(x)=(7x+28)/(x-3) and g(x)=(3x+28)/(x-7) Find: (fog)(x) (gof)(x) (fog)(-1)

Algebra
Let f(x) = 6/x-1 and g(x) = 1+3/x. Please fing the composite function. This is what i got so far. =f (1+3/x) =6/x-1 = =f (1+3/x) = 6/ [1+3/x - 1] How do I get the composite?

Math - Domain of Composite function
Find the domain of the composite function f ₒ g . Please show all of your work. f(x) = √x; g(x) = 2x + 12

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.

math
Cruz and his friend, Penny need to determine what numbers are prime and what numbers are composite for homework assignment. Cruz says that the number 5 is a composite number because it has the factors 2 and 2.5. Explain what is wrong with his reasoning

Data Structure and Algorithms in Java
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. On the other hand, a composite number is a natural number greater than 1 that is not a prime number. For example, 5 is prime, as only 1 and 5 divide it, whereas 6 is ...

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...

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...

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.

Math
There are 13 flavbors at a local ice cream parlor. Is the number 13 a prime number or a composite number? If it is composite, write the number as the product of prime numbers

math
which of these statements about prime and composite numbers is true? F)all prime numbers are odd. G)all prime numbers have three factors. H)all composite numbers are divisible by two. J)all composite numbers have more then two factors i thinks it (J) but im not sure

science
2 lenses in contact of power 3D and -5D form a composite lens. An object is placed around a distance 50 cm from this composite lens,find the position of the image.

Criminal Justice/Report Writing
When a number of different witnesses provide descriptions of the suspect, it is considered: A. acceptable for speed and brevity to combine multiple descriptions into a composite description. B. good investigative tactics to combine multiple descriptions into a composite ...

math last one help
sally drew a factor tree of a composite number and ended up with 4x4x5x5x3 as the prime factorization. explain what is wrong with this factorization 1. what is the correct prime factorization? 2. what is the composite number that was factored?

Math
Q. The coach of a baseball team separates the players into groups for the drills. Each group has the same number of players. Is the total number of players prime or composite, explain. - A. They really don't say the number in the book, but i would have to say composite, since ...

Math Help- Test Tomorrow!
We were doing review in class today and I remembered this one question I never got(though I don't have the specific question with me anymore). 1. It was a composite function question that asked for 'a' when f(g(a))=1. We were provided with the graphs of f(x) and g(x) and there...

algebra 2
a store is offering a discount of 30% on a suit. There is a sales tax of 6%. A) using a composition of function, represent this situatio in which the discount is taken before the sales tax is applied. B) using a composition of functions represent the situation in which the ...

algebra 2
can you answer this question? a store is offering a discount of 30% on a suit. There is a sales tax of 6%. A) using a composition of function, represent this situatio in which the discount is taken before the sales tax is applied. B) using a composition of functions represent ...

calculus
Suppose that f(x)= square root of x and g(x)= 3x-4 and you are asked to evaluvate the composite function f(g(0)). What is the complication that occurs in trying to find that composite function value? For waht values of x is it possible to evauvate f(g(x))? Please help me with ...

science
an isotropic epoxy resin (E=2GPa, ν=0.3) is reinforced by unidirectional glass fibers (Eglass=70GPa), aligned in the 2 direction, such that the fiber composite is transversely isotropic, with the 1-3 plane being the plane of isotropy. The elastic constants of the fiber ...

Materials Science
An isotropic epoxy resin (E=2GPa, ν=0.3) is reinforced by unidirectional glass fibers (Eglass=70GPa), aligned in the 2 direction, such that the fiber composite is transversely isotropic, with the 1-3 plane being the plane of isotropy. The elastic constants of the fiber ...

materials science
An isotropic epoxy resin (E=2GPa, ν=0.3) is reinforced by unidirectional glass fibers (Eglass=70GPa), aligned in the 2 direction, such that the fiber composite is transversely isotropic, with the 1-3 plane being the plane of isotropy. The elastic constants of the fiber ...

Math (repost)
Let f and g be defined by f(x) = 9-x such that 4<x<8 g(x) = x+2 such that 1<x<5 [the "<" signs are less than or equal to] Find the domains of both f o g and g o f algebraically. Find the range of f o g algebraically. I got the equation for f(g(x)), which is 7-x...

Math
Let f and g be defined by f(x) = 9-x such that 4<x<8 g(x) = x+2 such that 1<x<5 [the "<" signs are less than or equal to] Find the domains of both f o g and g o f algebraically. Find the range of f o g algebraically. I got the equation for f(g(x)), which is 7-x...

Composite Functions
I'm trying to make sure I got this question right. I'm supposed to find (g * f)(x) when f(x)x^2-2x and g(x)=√(x-15). This is what I've got: (g * f)(x) = g(f(x)) √ (x^2-2x)-15= √(x^2-2x-15)= √(x-5)(x+3)

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

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

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 ...

college algebra
Let f(x) = square root (x + 2) and g(x) = x^2 − 2. Determine the domain of the composite function. (Enter your answer using interval notation.) f compose f ______? & Find the composite function. (f compose f)(x) = _____?

algebra 2
a store is offering a discount of 30% on a suit. There is a sales tax of 6%. A) using a composition of function, represent this situatio in which the discount is taken before the sales tax is applied. the answer is (1.06)(.7x) = .742x B) using a composition of functions ...

algebra 2
a store is offering a discount of 30% on a suit. There is a sales tax of 6%. A) using a composition of function, represent this situatio in which the discount is taken before the sales tax is applied. the answer is (1.06)(.7x) = .742x B) using a composition of functions ...

math
Consider the given statements. 1. Every prime number is odd. 2. There are 8 prime numbers between 10 and 40. 3. There are 11 composite numbers between 0 and 20. 4. The number 4 is the smallest even composite number.

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. Find the product and ...

MATH
We now have d dx [x5 + y8] = 5x4 + 8y7y' = d dx [9] = 0. Rearranging this, we get 8y7y' = ?????????? ------------------------------------- A table of values for f, g, f ', and g' is given. x f(x) g(x) f '(x) g'(x) 1 3 2 4 6 2 1 8 5 7 3 7 2 7 9 (a) If h(x) = f(g(x)), find h'(3...

math test
Hi! I have a math test coming up tomorrow, and I need to prepare. but,i don't know how I should. . . any help would be great. she told us to: Be prepared to identify and explain functions, linear functions and proportional functions. Be prepared to use the new function ...

Domain of composite function
Can you please help me with the following questions? Find the domain of the composite function f * g. 12. f(x)=x+3, g(x)=1/(x+7) 15. f(x)=7x+70, g(x)=x+2

Math - Chain Rule
I've been having some difficulities with this but I think I figured it out. Could you double check me and make sure I'm doing the correct steps? Differentiate and simplify the answer. f(x) = 2(3x+1)^4 (5x-3)^2 =2(3x+1)^4 [2(5x-3)(5)] + [8(3x+1)^3] (5x-3)^2 =2(3x+1)^4 [10(5x-3...

math
Consider the given statements. 1. Every prime number is odd. 2. There are 8 prime numbers between 10 and 40. 3. There are 11 composite numbers between 0 and 20. 4. The number 4 is the smallest even composite number. Which two given statements are incorrect? OptionsMark for review

Domain of composite function
Find the domain of the composite function fog. f(x)=x^2+3;g(x)=sqrtx-4

college algebra
Let f(x) = 1/x − 2 and g(x) = 1/x − 3 . Determine the domain of the composite function. (Enter your answer using interval notation.) g compose f _____? & Find the composite function. (g compose f)(x) = _____?

Composite Materials
Can someone please help with this problem? A burnout test was performed to determine the volume fractions of constituents in a glass/epoxy composite. The following observations were made: Weight of empty crucible = 47.6504 g Weight of the crucible and small piece of composite...

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?

math
Surface area of a composite object. A cone with a slant height of 8.9cm and a radius of 4cm. The cones base is attached on top of a rectangular prism whose length is 41cm, width is 20cm and height is 40cm. It is attached with a hemisphere whose radius is 4cm. Find the surface ...

modern physics - relativity
A photon of energy E collides with a stationary particle of rest mass m0 and is absorbed by it . (A) what is the velocity of resulting composite particle ? (B) What is the mass of the resulting composite particle ? use conservasion of energy / momentum please show working

special relativity
A photon of energy E collides with a stationary particle of rest mass m0 and is absorbed by it. what is the velocity of the resulting composite particle ? what is the mass of the resulting composite particle? (use conservation of momentum and energy)

Math - Functions
For the real valued functions f(x) - |x| - 4 and g(x) = sqrt(5 - x) Find the composition of f o g and the domain in interval notation. Can someone help me solve this?

Math - Functions
Is it possible to graph linear functions like h(x) = 3x + 7 without doing a table of values? If it is, how? And I know the slope is 7, which means the y-intercept is (0,7).

Math
Use the functions f(x)=x+4 and g(x)=2x-5 to find the specified functions. (g x f)^-1

Math
Many nations compare the value of their currency to the US dollar. On a day early in 2009, $1 CDN (1 Canadian dollar) was worth $0.8290 USD (US dollar). This is known as an exchange rate. On the same date $1 USD could be used to buy 0.7579 Euros or 0.6709 UK pounds (United ...

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????

math
Tony and Tom are brothers.This year both of their ages are prime numbers. Last year both of their ages were composite numbers. Both of their ages will be composite numbers again over the next three years. If Tony and Tom are both teenagers, how old are they now?

math
Joel and jacob are brothers. This year both of their ages are prime numbers. Last year both of their ages were composite numbers.Both of their ages will be composite numbers again over the next three years. If joel and jacob are both teenagers, how old are they now?

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.

Math
Why is 25 a composite number help!!

Math
Is 11 prime or composite?

Math
What is the definition for composite

Math
What is the definition for composite

Math Grade 12 Advance Functions
I need help understanding equivalent trigonometric functions! Can someone PLEASE help me because the test is tommorrow and the internet or my textbook isn't helping at all!

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