SOLUTION: Need help for Grade 11 functions question: The function f(x)has the property that f(2x+3)=2f(x)+3 for all x. If f(0)=6, what is the value of f(9)? Thank you so much!

Algebra ->  Functions -> SOLUTION: Need help for Grade 11 functions question: The function f(x)has the property that f(2x+3)=2f(x)+3 for all x. If f(0)=6, what is the value of f(9)? Thank you so much!      Log On


   

Question 344145: Need help for Grade 11 functions question:
The function f(x)has the property that f(2x+3)=2f(x)+3 for all x. If f(0)=6, what is the value of f(9)?
Thank you so much!
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Substitute x = 0 in the equation f(2x+3) = 2f(x)+3.

This will give you f(3).

Then substitute x = 3 in the equation f(2x+3) = 2f(x)+3.
Understand?