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

  1. 👍 0
  2. 👎 0
  3. 👁 175
  1. You do not state what composite function you want.
    Do you want f(g(x)) or g(f(x)) or f(x)*g(x) .....

    Does the following reply answer your question?

    http://www.jiskha.com/display.cgi?id=1307080009

    1. 👍 0
    2. 👎 0
  2. sorry, f o g

    1. 👍 0
    2. 👎 0
  3. f o g
    = f(g(x))
    = f(2x+12)
    = √(2x+12)

    Remember we cannot take the √ of a negative, so the domain is
    2x + 12 ≥ 0
    2x ≥ -12
    x ≥ -6

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    1. Provide two examples of a function: (1) as a table of values and (2) as a graph. Explain the definition of a function. Be sure to include mathematical vocabulary in your response. 2. In a paragraph, explain what the domain and

  2. college alg

    for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 (they look like fractions) A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work

  3. math

    Find the rules for (f∘g)(x) and (g∘f)(x) and give the domain of each composite function. f(x) = x^2 g(x) = √(1-x) The Domain of (f∘g)(x) is : (f∘g)(x) = The Domain of (g∘f)(x) is : (g∘f)(x) =

  4. math

    A movie theater seats 500 people. For any particular show, the amount of money the theater makes is a function m(n) of the number of people, n, in attendance. If a ticket costs 2 dollars, find the domain and range of this

  1. calculus

    given the following piecewise function x+11 for -9

  2. 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 =

  3. college algebra--need help please!!

    find the domain of the composite function fog. f(x)= 2/x-3; g(x)= 7/x please show all work.

  4. math

    find the domain of composite function fog f(x)=x/x-4; g(x)= -1/x please show work

  1. College Algebra

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs.

  2. Functions

    Could you please help me and check my answers? Find the domain of the function. f(x)=-8x-2 -I got the domain being (negative infinity, postive infinity). g(x)= 3x/x^2 -49 (I got (-inifinity,-7)U (-7,7) U (7, +ininfinity) The U is

  3. algebra

    Given the following function, find: (a) vertex (b) axis of symmetry (c) intercepts, (d) domain (e) range (f) intervals where the function is increasing, (g) intervals where the function is decreasing Please show all of your work

  4. Math

    Find the domain of the function. Show all work. 1 if -9 < or = x

You can view more similar questions or ask a new question.