precalculus check immediately

posted by .

suppoe f is a function with domain [1,3]and range[2,5]?
define functions g and h by g(x)=3f(x)and h(x)=f(4x)
what is domain and range of g
what is domain and range of h
I solved it and got it like this
domainof g=[1,3]and range of g=[3,9]
Domain of h=[4,12] and range of h=[2,5]
Is it correct

  • precalculus check immediately -

    domain of f is also the domain of g and h, since they are defined as multiples of f.

    since range of f = [2,5],
    range of g = [3*2,3*5] = [6,15]
    range of h is [4*2,4*5] = [8,20]

    range of g is 3*range of f, not 3*domain of f

    domain is the same for all, since g and h are defined for exactly the same values as f is.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calcius

    Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain: {1, …
  2. Calculus

    I'm doing graphs/domain/range of basic functions. I have three questions: How do I find the domain and range of a function?
  3. Algebra

    23. The ___ axis represents the independent variable. X?
  4. Algebra (Last Question)

    I have - to graph each relation - decide if it is a function - state the domain and the range. 1) {(2,3),(4,-3),(5,1),(-1,3)} how would I decide if something is a function in general?
  5. Math

    You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function?
  6. math (2nd Try)

    You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function?
  7. algebra

    Find the domain and range of the relation and determine whether it is a function?
  8. Math

    HELP PLEASE!!! I'm having some trouble with this question on my Maths hw. Any help is appreciated:) Identify the domain and range of the function. y=-0.25x^2 1. domain: (-oo, 0] range: (-oo, oo) 2. domain: (-oo, oo) range: (-oo, 0] …
  9. Math

    What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}?
  10. Math

    What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}?

More Similar Questions