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January 29, 2015

January 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

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