SOLUTION: Let C(x)=(1+x^2)^3. Find the functions f and g so that C(x)=(f o g)(x) is true for all values of x.

Algebra.Com
Question 1043729: Let C(x)=(1+x^2)^3. Find the functions f and g so that C(x)=(f o g)(x) is true for all values of x.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Let C(x)=(1+x^2)^3. Find the functions f and g so that C(x)=(f o g)(x) is true for all values of x.
------------------
g(x) = 1+x^2
f(x) = x^3
-----
fog(x) = f(g(x)) = f(1+x^2) = (1+x^2)^3
----------------------
Cheers,
Stan H.
------------

RELATED QUESTIONS

Let f(x)=x^2+x and g(x)=2x+1. Find and simplify the following: . a) (g o f)(x) . (answered by pushpaharan)
Let f(x)=x^2+x and g(x)=2x+1. Find and simplify the following: . a) (g o f)(x) . b)... (answered by glitzgirl_14)
Please help me to find the following functions. Let f(x)=x=4 and g(x) =x^2+8x-3 a.... (answered by solver91311)
Find functions f and g so that the composition of f and g is H. H(x) = |4 - 3x^2|... (answered by josgarithmetic)
8. a) Given the functions f(x) = x + 2 and g(x) = 3^x, determine an equation for (f ∘... (answered by Edwin McCravy)
Please help me with this question. Thank you! a) Given the functions f(x) = x + 2 and... (answered by solver91311,MathLover1)
Please show all work. Given the following functions f(x)=x+3 g(x)=√(x-1)... (answered by rothauserc)
Let f(x)=x^2 and g(x)=x+3, find: a. (f o g)(x)= b. (g o f)(x)= c. (f o g)(-3)= d.... (answered by MathLover1)
Let f(x)=x^2 and g(x)=x-5 find: a. (f o g)(x)= b. (g o f)(x)= c. (f o... (answered by stanbon)