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!

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) (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?

RELATED QUESTIONS
If f(3)=1 and f(2x)=2f(x) for all x, find... (answered by jim_thompson5910)

If f(�x) = �f(x) for all choices of x, then what does that tell you about the function f? (answered by psbhowmick)

F(x)=2x+6 find f(3) for the function? (answered by stanbon)

For all real numbers {{{x}}}, the function {{{f(x)}}} satisfies {{{2f(x) + f(1-x) =... (answered by Edwin McCravy)

1.what do all memebers of the family of linear functions f(x)=1+m(x+3) have in... (answered by Fombitz)

Please help me find the values for the functions below given the following piece wise... (answered by stanbon)

The function f(x) has the property that f(x+y)= f(x)+f(y)+2xy, for all positive integers... (answered by Edwin McCravy)

If f is a linear function, f(0.1) = 9.3, and f(0.4) = −6.3, find an equation f(x)... (answered by CubeyThePenguin)

I need help with functions I dont really understand. the question is asking,for each... (answered by richard1234)