SOLUTION: This is a composition of Functions problem
If {{{f(x)=x^2-4}}} and{{{g(x)= sqrt(x+4)}}} find (f0g)(x)
So I put f(g(x))
={{{ f(sqrt(x+4))^2-4)}}}
= now I a
Algebra.Com
Question 114640: This is a composition of Functions problem
If and find (f0g)(x)
So I put f(g(x))
=
= now I am stuck, do I add it all together or leave it like that??
Found 2 solutions by stanbon, edjones:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If and find (fog)(x)
----------------
fog(x) = f[g(x)] = f[sqrt(x+4)]
= [sqrt(x+4)]^2-4
= (x+4) - 4
= x
============================
Cheers,
Stan H.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
You did the hard part.
=
=x+4-4
=x
Ed
RELATED QUESTIONS
Find functions f and g so that the composition of f and g is H.
H(x) = |4 - 3x^2|
(answered by josgarithmetic)
Find functions f and g so that the composition of f and g is H.
H(x) = |4 - 3x^2|... (answered by josgarithmetic)
Given the functions f(x)= sqrt of(x+8)and g(x)= 7x - 4, find f(g(4)).
If a decimal is... (answered by edjones)
FOR THE INDICATED FUNCTIONS F AND G,FIND FUNCTIONS F0G AND G0F, FIND THE DOMAINS.... (answered by Theo)
Find domain of f(x)/g(x).
f(x) = sqrt{4 - x^2}
g(x) = sqrt{9 -... (answered by ikleyn)
H(x) = |4 - 3x2|Find functions f and g so that the composition of f and g is... (answered by fractalier)
given functions f(x)=x^+4;g(x)=square root of 7-x
find (f0g)& (g0f)& domains for each??
(answered by Boreal)
find the requested composition of functions. 4x^2+5x+4 and g(x)=5x-7 find (g... (answered by RedemptiveMath)
Hello,
Here is the problem I am stuck on:
If h(x) = 2 + ( 1/sqrt(x+4) ), find... (answered by Fombitz)