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 equation is their a trick to doing this
f(x)x+1 g(x)=X^2+2x+1

how can you possibly have an assignment working with something you have not studied?
If you have f(x) and g(x) as functions, then there are two simple composite functions:
f(g(x)) and g(f(x))
Given your functions,
f(g) = g+1 = (x^2+2x+1)+1 x^2+2x+2
g(f) = f^2+2f+1
= (x+1)^2 + 2(x+1) + 1
= x^2+4x+4
Check the related problems below to see other worked examples. Wouldn't hurt to check your class text, either, so you will have "dealt" with them.
google will also turn up a wealth of examples.posted by Steve

I will assume you defined you first function as
f(x) = x+1
also g(x) = x^2 + 2x + 1
the simple ones are where you do one of the arithmetic operations
e.g.
(f+g)(x) = (x+1) + (x^2 + 2x + 1)
= x^2 + 3x + 2
similarly (g/f)(x) = (x^2+2x+1)/(x+1)
etc
the more complicated ones would be something like
f(g(x) )
= f(x^2+2x+1)
= (x^2+2x+1) + 1 = x^2 + 2x + 1
but
g(f(x) ) = g(x+1)
= (x+1)^2 + 2(x+1) + 1 . etc
sometimes you will see this
(f o g)(x) , it is simply another way to write f(g(x))
notice that (g o f)(x) would be g(f(x) )
hope this will get you going.
posted by Reiny
Respond to this Question
Similar Questions

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 
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
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)=x2 
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 
math
how to you find a composite function form of y in this problem? y = 1/[(x^2+3x5)^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 
composite functions
f(x)=2x4, 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 
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 
Calculus
How do you take the limit of a composite piecewise function f(f(x))? Only the graph is given. lim f(f(x)) x>2 I figured the way to do it was to find the lim f(x) = C then find lim f(x). x>2 x> C The simple questions on 
Functions
consider the functions g(x)=(4x^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 
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,