Wednesday

October 1, 2014

October 1, 2014

Posted by **Shreya** on Thursday, September 27, 2012 at 10:27pm.

If f(x) = 2x+1

find

A. f o f(x)

f(f(x)) = f(2x+1)

f(2x+1) = 2(2x+1)

f(f(x)) = 4x +2

B. f o f o f o f(x)

^ I dont get how to solve this one

C. f o f o f o f o f ...o f(x) n functions of f

^ I also dont get how to solve this one

given f(x) = ax+b and g(x) = cx+d and

f o g(x) = g o f(x), what is the relationship between a,b,c,d?

- Pre-Calculus -
**Steve**, Thursday, September 27, 2012 at 11:32pmf(x) = 2x+1

f(f) = 2f+1 = 2(2x+1)+1 = 4x+3

f(f(f)) = 2(4x+3)+1 = 8x + 7

f(f(f(f(x)))) = 2(8x+7)+1 = 16x + 15

f^{n}(x) = 2^n * (x+1) - 1

f(g) = ag+b = a(cx+d)

g(f) = cf+d = c(ax+b)

so, if f(g) = g(f)

acx + ad = acx + bc

ad = bc

**Answer this Question**

**Related Questions**

Function compostions - Sorry I had to repost, I left somethings out. Can you ...

pre calculus - consider the functions f(x)=x^3-3 and g(x)=3 sqrt x+3: a. find f(...

Pre-Calculus - Composition of Functions f o g(x)=f(g(x)) --> I know that this...

Functon compostions - Can you please check my answers? For the given functions f...

pre-calculus - find the functions f and g so that Fog = H. H(x)=/2x+1\

PRE CALCULUS - find the range of the following functions g(x) =x/x-2

Pre-Calculus - Directions: Find the 2 Functions f and g such that (f o g)(x)= h(...

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

calculus - Write h(x) = 6x^4 - 2x^2 + 1 as a composition of two functions f and...

Math - Functions - For the real valued functions f(x) - |x| - 4 and g(x) = sqrt(...