SOLUTION: I don't know how to find the doamain and rancge of f(X)*g(x) f(x)= 4x^2/3 and g(x)= 5x^1/2 (the star is my multiplication symbol)

Question 407048: I don't know how to find the doamain and rancge of f(X)*g(x) f(x)= 4x^2/3 and g(x)= 5x^1/2 (the star is my multiplication symbol)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I don't know how to find the
domain and range of f(X)*g(x)
where f(x)= 4x^(2/3) and g(x)= 5x^(1/2)
----
Domain of f is all Real numbers
Range of f is all Real numbers >= 0 because of the squaring
---------------
Domain of g is all Real numbers >= 0 because of the (1/2) power
Range of g is all Real numbers >= 0 because of the (1/2) power
----
So:
Domain of f(x)*g(x) is all Real numbers >= 0
Range of f(x)*g(x) is all Real numbers >= 0
================================================
Try graphing f(x)*g(x) so you can see the Domain and the Range

======================
Cheers,
Stan H.
===============
RELATED QUESTIONS
For the functions f(x)=4x-1 and g(x)=3-5x^2 find the compostion g of... (answered by venugopalramana)

f(x)=4x-1 g(x)=3-5x^2 find the compostion g of... (answered by venugopalramana)

Given f(x)= 4x-3 and g(x)= 2x^2-5 find f[g(-1)] and g[f(-1)] i dont know how to do... (answered by fractalier)

f(x)=3X+2 and g(x)=-2X+1 find g(f(-2)) I don't understand how to solve this... (answered by ikleyn)

g(x)=6x+12 f(x)=2X+3 Question: 1. Find the (f o g) (x)+X^2 2. Set the... (answered by stanbon)

Using f(x)=5x+2 and g(x)=x^2 -3 Needing to know how to find the following: 1)(g o... (answered by edjones)

I have no idea if I am posting this problem in the right area but here goes. Let... (answered by venugopalramana)

I don't understand functions, I really need help. 17.) Let f(x)= 5x and g(x)=-2x-3.... (answered by josgarithmetic)

Hello, I have been trying for hours to help my son with his Algebra I homework and I am... (answered by ReadingBoosters,MathTherapy)