Sunday

March 29, 2015

March 29, 2015

Posted by **Lena** on Monday, October 15, 2007 at 3:54pm.

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 -
**Count Iblis**, Monday, October 15, 2007 at 4:18pmDifferentiate 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

**Answer this Question**

**Related Questions**

Math Grade 12 Advance Functions - I need help understanding equivalent ...

Calculus - We're learning about different kinds of functions and I don't really ...

math - hello, i have some question about rational functions. 1) are there any ...

advanced functions/precalculus - 1. The function f(x) = (2x + 3)^7 is the ...

functions (easy explanation) - I have a very quick question about exponential ...

statistics - A mini-computer system contains two components, A and B. The system...

math test - Hi! I have a math test coming up tomorrow, and I need to prepare. ...

functions - For each problem, construct two composite functions, . Evaluate each...

Functions - consider the functions g(x)=(4-x^2)^0.5 and h(x)=(x^2)-5. find the ...

Math - Redo problem 13 from section 1.8 of your textbook (page 62), but use the ...