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

asked by Johnathan
  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
  2. 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

First Name

Your Response

Similar Questions

  1. 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
  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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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,

More Similar Questions