SOLUTION: Question: Find the function composition of: f o g(x) given f(x) = x^2 - 1 and g(x) = x^2 - 4
What I've done so far:
(f o g)(x) = f(g(x)) (setting up the function)
f(x^2 - 4) (in
Algebra.Com
Question 612659: Question: Find the function composition of: f o g(x) given f(x) = x^2 - 1 and g(x) = x^2 - 4
What I've done so far:
(f o g)(x) = f(g(x)) (setting up the function)
f(x^2 - 4) (inputted g into the function)
x^2(x^2 - 4) - 1 (inputted f)
x^4 - 4x^2 - 1 (simplified)
I'm not sure if this is right and I'm not sure if I can simplify further by factoring or if this is even the end result.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the function composition of: f o g(x) given f(x) = x^2 - 1 and g(x) = x^2 - 4
What I've done so far:
(f o g)(x) = f(g(x)) (setting up the function)
f(x^2 - 4) (inputted g into the function)
----
Note: The "x" in f is now (x^2-4).
---
= (x^2-4)^2-1
------
= x^4-8x^2+16-1
---
= x^4-8x^2+15
===================
Note: You could factor that but that is not
what the question asks you to do.
===========================================
Cheers,
Stan H.
RELATED QUESTIONS
Can you explain the Composition of Functions
(g o f)(2)
(f o... (answered by stanbon)
Given f(x)= 3 over x(squared)-4 and g(x)= 5 over x
Find the following
1. f o g... (answered by MathLover1)
Find the domain of the composition function f o g
F(x) = 1/ x-9 ; g(x) = 1/x
(answered by stanbon)
f(x)=x-2 and g(x) = x2 (squared) find each value
(g o f)(4)
(f o... (answered by nerdybill)
Given {{{f(x)=(x-3)/(x-1)}}} and {{{g(x)=(x-4)/(x-2)}}}
Find (f o... (answered by Jk22)
for the given funtions f and g, find
(a) (f o g)(4) (b)(f o g)(2) (c)(f o f)(1)... (answered by nik_consult)
if f(x)=2x+4 and g(x)=x^2+1, find (f o... (answered by Nate)
For f(x) = 3x-2 and g(x) = x2+1, find the composite function defined by f o g(x) and g o... (answered by rothauserc)
given
F(x) = 2x -4
G(x) = 5 + x^2
find (F o... (answered by venugopalramana)