SOLUTION: Perform the operation and state the domain and range of g(f(x)) f(x)= x^2+3x; g(x)= 2x+1

Algebra.Com
Question 892421: Perform the operation and state the domain and range of g(f(x))
f(x)= x^2+3x; g(x)= 2x+1

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!



Complete the square to convert to vertex form,




There are no constraints on the domain : (,).
The function has a minimum value of so the range is
[,)
.
.
.


RELATED QUESTIONS

State the domain and range of each function.... g(x)=ln(2x-1)... (answered by jsmallt9)
f(x)= 1/x-1; g(x)= √x find f(g(g)) and g(f(g)). State the... (answered by stanbon)
You're given f(x)=x^2-x-12 and g(x)= x-4. Perform each function operation and find the... (answered by MathLover1)
f(x)= 2x-3, g(x) = x^2-3x+2 Find f(g(x)) and g(f(x)). Also state the... (answered by Boreal)
perform the indicated operation : let f(x)=-3x^2-9x+8 and... (answered by Fombitz)
How do I set up and solve this problem?? Let f(x) = 2x^2+x-3 and g(x)= x-1. Perform... (answered by DrBeeee)
Let f(x) = (x^2 + 3x - 4) and g(x) = (x + 4) a. find f*g and state the domain b. find... (answered by solver91311)
Let f(x)= (x^2+3x-4) and g(x)=(x+4). a. Find f*g and state the domain. b. Find f/g... (answered by josgarithmetic)
Given functions f and g , perform the indicated operation.

f(x)·g(x)

f(x)=9x-2
 (answered by Edwin McCravy)