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Math - Combining Functions

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combining functions
Given: f(x)=2x^2-x+1 g(x)=2 sin x h(x)=3^x Determine: a) f(g(x)) b) (h^-1 o f)(x) c) g(f(h(x)))) Please show steps, thank you very much.

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
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
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 ...

Darton College
Explain how the process of combining radicals through addition and subtraction is similar to combining polynomials. What make two radicals like radicals

physics
need help combining these vectors (if you can please show me a step by step guide of combining these two. Thank you 56m at 296 degrees, then 83m 152 degrees

Chemistry
Compare and contrast two elements combining to form a compound and two compounds combining to form a mixture.

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 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 ...

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...

math
2x+4(1-x)=11+5x 2x+4-4x=11+5x 6x+4=11+5x 6x=7+5x x=7 i think this is it x = 7 is not correct. Here's how the problem should work out: Use the distributive property to get rid of the parentheses and you will end up with this: 2x + 4 - 4x = 11 + 5x Combining like terms: -2x + 4...

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 - 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
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
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.

Math - Combining Functions
Kathy has a small business selling apple cider at the farmers' market. She pays $35 per day to rent her space at the market, and each cup of cider costs her $1. She sells the cider for $2.50 per cup and brings enough cider and cups to sell a maximum of 200 cups in a day. Write...

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.

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

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!

math
for the given functions f and g, find the specified value of the following functions and state the domain of each one. f(x)=2+3/x; g(x)=3/x a.(f-g)(2)= b.(f/g)(3)= how do I do this? I need help! it throws me off because of it being in fraction form.

Algebra
Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, showing all work. 3. Discuss the ...

Geography
10. How was the Great Leap Forward supposed to make China's production greater than that of the Western nations? a. by replacing private ownership of farms with common ownership b. by combining China's collectives into self-sufficient People's Communes c. by smashing the old ...

exponential functions in math
my daughter needs some help studying for a unit test using exponential functions in math

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 ...

Math
How to write a math story that includes 4 examples... Possible math topics include: introduction to functions investigating quadratics quadratics highs & lows exponential functions fiancial applications of exponential function acute triangle trigonometry I'm taken MCF3M math ...

statistics
A mini-computer system contains two components, A and B. The system will function so long as either A or B functions. The probability that A functions is 0.95, the probability that B functions is 0.90, and the probability that both function is 0.88. What is the probability ...

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

Math
Can anyone tell me if these functions are odd, even, or neither. Also, what is the domain, range, x-intercept, and y-intercept of these functions? 1. f(x) = x^2 - 3x + 6 2. f(x) = cubicroot(x)

math
combining like terms 1.) 10x+6y-5x and 2.) 9x^2+10+4x^2+7

math
Simplify by combining like terms. 9m + 5m - 4

Math - Inverse Functions
Find the inverses of the following functions. y = 3(x - 1)^2, x >= 1 Work: x = 3(y - 1)^2 x = 3(y - 1)(y - 1) x = 3(y^2 - y - y + 1) x = 3y^2 - 6y + 3 And now what do I do!? Please explain and show me how to solve this inverse function! ... Thank you

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!

math
consider the functions f(x)=x^3-2 and g(x)=3 sqrt x+2: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverse of each other. I have no clue where to even begin!

math
let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ¨’ g by (f ¨’ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector space, which is denoted by C(−...

Math advance functions gr 12
Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)

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.

Pre-Calculus
Operations with Functions write the function below as either a sum/difference/product/quotient of 2 r more functions a. h(x) = x^2+3x+9 How Would I do this? My teacher just did this f(x) = x^2 g(x) 3x+9 ^I don't really understand h(x)=(x+5)(x-3) how would I do this one? If h(x...

math
simplify by combining like terms. then solve. 8m+3m=55 x+2x=30

math
simplify the expression by combining like terms r + 2s + 3r

math
Write an expression by combining like terms. 4(1/3x - 1)-3(2/5x - 3) THANK YOU!

Math
My math problem is combining like terms then simply. 3 3 6b - 2b + 2b + 2b -b Answer is (b)

Math
Math question is combining like terms then simplify. 3 3 6b - 2b+2b+2b -b 3 My answer is 4b -b

Math
1) Find three functions with unlimited domains and ranges. 2) Find two functions with restricted domains. 3) Find two functions with restricted ranges. Im confused as to how I can find the answer for these question, can you please explain along the steps.

math and desperate
What similarities and differences are there between functions and linear equations? Are all linear equations functions? Is their an instance when a linear equation is not a function support your answer. Im not good at math please help.

Math
What are the similarities and differences between functions and linear equations? How do you graph functions on a coordinate plane? Is there an instance when a linear equation is not a function? Provide an example. Write a function for your classmates to graph. Consider ...

Math
What are the similarities and differences between functions and linear equations? How do you graph functions on a coordinate plane? Is there an instance when a linear equation is not a function? Provide an example. Write a function for your classmates to graph. Consider ...

health
Is there anyone that could possibly help me understand medical terminology? My college course has transitioned to an all online setting with in-class closed book exams. I'm having a hard time understanding the difference in word roots and combining forms. For instance: she ...

Math
Use your knowledge of exponents to solve. a) 1/2^x=1/(x+2) b) 1/2^x>1/x^2 So I know that these functions are rational functions.. and I am trying to solve for x. I tried to solve them by I keep getting stuck with the exponent 2 which is the exponential function.. Help please

science
does the liver have exocrine and endocrine functions? if so, what the functions? I don't think the liver has both exocrine and endocrine functions. I could be wrong. Someone kindly explain?

Math
I'm not understanding this. How do you solve (^2 meaning squared) (2x^2 - 7x -8)-(8x^2 + 4x +9) ... by combining like terms. ahhh! help!

Math
For each of the following , simplify by combining like terms : 4x^3y+5x(6xy-7y^2) - 8y(9x^2-10xy) - 11xy^2

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 ...

Math - Periodics
How do you prove algebraically whether the following is periodic? f(x) = 3cos3x + 5sin4x The sum of two periodic functions is always periodic. In your case, note than when x is a multiple of 2 pi, both functions repeat the values of x = 0.

MATH _ GRAPHING RATIONAL FUNCTIONS
When graphing rational functions, how do I know which directions the graphs go? Example, for equation y = 9/x - x, how would you graph this? Also, why is the horizontal asymptote for f(x)= 2+x / x-7 is 1 instead of 0?

math
what does linear an nonlinear functions mean? I need help asap please i am begging you because i am a new student at this school and i don't get what the difference is between linear and nonlinear functions.

math
functions f(x)=rad. x-9 write the intervals of the functions. How do I put the set of numbers in the form of intervals such as infinity. I solved it and got the answer as this: x < or = 9 (infinity,9] Please help me, I am stuck.

cjs/210
Will someone please help me find a website to answer the following questions? What are the various functions of a police agency? Compare how the functions of a police agency differ at the federal, state, and local levels. What would happen if the various functions and roles of...

math
Can someone show me the steps necessary to simplify the expression by combining like terms? 1/4(6b+2) – 2/3(3b-2)

Math
For each of the following, simplify by combining like terms : a) p ( q - r ) - q ( p -r ) - r ( p -q ) b) 23ab - 12bc^2 - 12ba - 13bc^2

Computer programming
Functions and procedures are used all the time in Modular programming. Can functions replace procedures? what are the advantages of using functions over procedures? Are there any advantages to using procedures over functions?

math- periodic
How do you prove algebraically whether the following is periodic? f(x) = 3cos3x + 5sin4x The sum of two periodic functions is always periodic. In your case, note than when x is a multiple of 2 pi, both functions repeat the values of x = 0.

math
which statement about linear functions are true A)linear functions grow by equal factors over equal intervals B)linear functions grow by equal differences over equal intervals C)linear functions grow by equal differences over unequal intervals D)linear functions grow by ...

Math
For each pair of functions give a characteristic that the two functions have in common and a characteristic that distinguishes them. a) f(x)=1/x and g(x)=sinx b) f(x)=x and g(x)=[x] c) f(x)=2^x and g(x)=sinx

Chem
There are three questions in particular that I am having problems with. Here they are 1. A standard solution of FeSCN2+ is prepared by combining 9.00 mL of 0.200 M Fe(NO3)3 w/1.00 mL of 0.0020 M KSCN. The equilibrium concentration of FeSCN2+ ([FeSCN2+]std) for this standard ...

Domains of Functions
I don't understand how to do this problem, can you please help me? Given the functions f and g, determine the domain of f+g. 4. f(x)= 2x/(x-3) g(x)=3/(x+6)

Algebra 2
for the functions f(x) = 5x +50 and g(x) = 1/5x -10 evaluate both f(g(x)) and g(f(x)). Are these functions inverses? do you put them into each other?

science
what functions do individual cells perform that are similar to the functions of our bodies?

science
what functions do individual cells perform that are similar to the functions of our bodies?

advance functions gr12 HELP ASAP
using rational functions solve (x+5)/(x-3)= (2x+7)/(x) thank you

advance functions gr12 HELP ASAP
Using rational functions solve 7+ (1)/x = 1/(x-2) thank you

Science PLEASE HELP
what functions do individual cells perform that are similar to the functions of our bodies?

calculus
for trigonometric functions and rhythmic functions questions, how do you know when to use either f(t)=A sin (w(t-a)) or f(t) = A cos ( w(t-a)) ?

Math (Pre-Algebra)
How do you simplify this equation by combining like terms or using the distributive property?: -5y+8-y+11-2+y

Math 8R - help!!!!!!!
Combining Like Terms 1. 3a + a = 16 2. 9x - 3x = 30 3. 5w + 3w = 24 I really need help with this, can you at least do one or two for me so I can do the other problem.

Math Functions
Write two equations to represent the same exponential function with a y-intercept of 5 and an asymptote at y=3 . Investigate whether other exponential functions have the same properties. Use the transformations to explain your observations.

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

advance functions gr12 (SORRY LAST ONE HAD A TYPO)
Using rational functions solve 7+ (1)/x = 1/(x-2)

Science
How are the functions of a human cell different to the functions of a computer?

advance functions gr12
Using rational functions solve (7+ 1)/x = 1/(x-2)

linear algebra
Let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ⊕ g by (f ⊕ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector space, which is denoted by C(−&#...

calculus
give 3 examples of functions from everyday life that are described verbally.what can you say about the domain and range of each of your functions?

calculus
give 3 examples of functions from everyday life that are described verbally.what can you say about the domain and range of each of your functions?

Medical Seekers
Health Care providers use computers to perform many functions. Identify at least 4 of those functions!

Solving trig functions! urgent please help!
1.2sinxtanx + tanx-2sinx-1=0 2.6tan^2x-4sin^2x=1 Both functions is for 0<x<2pi thank you!

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 ...

cjs/210
Will someone please help me find a website to find the answer to the following questions? What are the various functions of a police agency? Compare how the functions of a police agency differ at the federal, state, and local levels. What would happen if the various functions ...

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.

Functions
Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^2-98 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions)

Functions
Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^2-98 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions)

Math
So for these simplified functions would they be equivalent to these functions: Is -3x^2-13x-13 equivalent to f(x)=-3(x+2)^2 Is [(x-2)(x+1)]/[3x+1)(x+1] equivalent to f(x)=(x^2-x-2)/(3x^2+4x+1)

math
The weekly demand and supply functions for Sportsman 5 X 7 tents are given by the following respective functions where p is measured in dollars and x is measured in units of a hundred. Find the equilibrium quantity. Find the equilibrium price.

Math
All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes Is the answer D. vertical asymptotes?

Algebra 2 Functions
Use these functions: f(x)=3x-2 g(x)=2 h(x)=4x 1. What is f(g(x))? 2. What is g(18)? 3. Find h(5).

functions
pls. explain transformations on functions..

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