SOLUTION: Find the rules for the composite functions f ○ g and g ○ f.
f(x) = 4x^2 + 7x + 7; g(x) = x + 9
f ○ g= ??
g ○ f= ??
Algebra.Com
Question 1065686: Find the rules for the composite functions f ○ g and g ○ f.
f(x) = 4x^2 + 7x + 7; g(x) = x + 9
f ○ g= ??
g ○ f= ??
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
For f o g, put the g in for every x in f
That would be 4 (x+9)^2+7 (x+9)+7= 4x^2+25x+151
-----------------
For g o f, put the f in for every x in g
4x^2+7x+7+9=4x^2+7x+16.
RELATED QUESTIONS
Find the functions f ○ g and g ○ f.
f(x)=5x-9 ; g(x)=1/5(x+9)
(f... (answered by stanbon,Cromlix)
Find the functions f ○ g and g ○ f.
f(x) = √x-8; g(x)= x^2
(f... (answered by Cromlix)
Find the rules for the composite functions f ○ g and g ○ f
f(x) = 8x^2 +... (answered by Boreal)
Use the functions f(x) = 2x +7, g(x) = x squared + 3x, and h(x) = 1/x-7 to find each of... (answered by funmath)
If we have the following functions:
f(x) = 3x – 2 and g(x) = x2 – 2x find the... (answered by eperette)
Given
f(x) = 2x2 + 1
and
g(x) = 8x − 9,
find the following.
(a)... (answered by stanbon)
Use f(x) = 4x − 2 and g(x) = 5 − x^2 to evaluate the expression.
(a) (f... (answered by stanbon)
If f(x) = 2x + 1 and g(x) = x^2, what is f ○ g? What is g ○... (answered by rothauserc)
For the given functions f, g and h, find f○g○h and state the exact domain of... (answered by solver91311)