Functions in Math

posted by .

Im looking at internet sites and Im not quite understanding functions. I have a question like;

A function f(x) has the properties

i) f(1) = 1
ii) f(2x) = 4f(x)+6

Could you help me out. I know nothing about functions.

  • Functions in Math -

    Differentiate both sides of:

    f(2x) = 4f(x)+6 ----->

    f'(2x) = 2f'(x) ------->

    f'(x) = a x -------->

    f(x) = b x^2 + c

    Insert this in the functional equation to find that c = -2

    The first equaton f(1) = 1 then gives:

    f(x) = 3 x^2 - 2

  • Functions in Math -


  • Functions in Math -

    oops wrong question

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic …
  2. math

    hello, i have some question about rational functions. 1) are there any sites that are good in teaching graphing rational functions?
  3. Math Grade 12 Advance Functions

    I need help understanding equivalent trigonometric functions! Can someone PLEASE help me because the test is tommorrow and the internet or my textbook isn't helping at all!
  4. 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 …
  5. Math Functions

    Write two equations to represent the same exponential function with a y-intercept of 5 and an asymptote at y=3 . Investigate whether other exponential functions have the same properties. Use the transformations to explain your observations.
  6. English

    1. Cellphones also have many functions like going on the Internet. 2. Cellphones also have many functions like logging on the Internet. 3. Cellphones also have many functions like logging in on the Internet. ================================ …
  7. algebra2

    Use the four functions below for this question: f(x) g(x) h(x) j(x) Jesse got $5 from his dad and he makes $2 each time he walks the neighbor's dog. x g(x) –2 –1 2 –9 6 –17 j(x) = 2x – 5 Compare and contrast these four functions …
  8. Math

    If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be a function?
  9. algebra

    Below are the functions of y=|x| and y=|x|-5. how are the functions related?
  10. Math

    There are 4 odd functions and 3 even functions in the gallery of the 12 basic functions. After multiplying these functions together pairwise in different combinations and exploring their graphs, make a conjecture about the summetry …

More Similar Questions