posted by .

show that the composition of two increasing functions is increasing

  • precalculus -

    (fog)(x) = f(g(x))
    f(x+h) > f(x) if h>0
    g(x+h) > g(x) if h>0, so g(x+h) = g(x) + k for some value of k

    consider f(g(x+h)). g(x+h) > g(x), so
    f(g(x+h)) > f(g(x))

    so, increasing

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. precalculus

    show that the sum of two increasing functions is increasing
  2. precalculus

    give an example of two increasing functions whose product is not increasing
  3. Precalculus

    give an example of two decreasing functions whose product is increasing
  4. Physical Science

    Which of the following would reduce the resistance of a metal wire?
  5. science

    Which of the following could help reduce loss of biodiversity?
  6. 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 …
  7. science (check)

    5.Which of the following could help reduce loss of biodiversity ?
  8. chemistry

    Increasing pressure does what to solubility. Increasing surface area?
  9. Brief Calculus

    Increasing and Decreasing Functions. Let f(x) = 4x^3 - 9x^2 -30x +6 A. Find all critical numbers of f(x) B. Give the open intervals where f (x) is increasing and decreasing and clearly label each.
  10. Chem

    increasing the temperature increasing the pressure increasing the amount of water All of these will increase both solubilities.

More Similar Questions