SOLUTION: hi help me, please for the functions f(x)=1/x^a and g(x)=1/x^b , find g.f and satte its domain Assume a>1 and b>1 (g.f)(x)=

Algebra.Com
Question 1160241: hi help me, please
for the functions f(x)=1/x^a and g(x)=1/x^b , find g.f and satte its domain
Assume a>1 and b>1
(g.f)(x)=

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!



find and satte its domain
Assume and




since given and, domain is
{ element : }


Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.

Regarding the domain, the correct answer is x > 0.

Do not accept any other answer.



RELATED QUESTIONS

Please show all work. Given the following functions f(x)=x+3 g(x)=√(x-1)... (answered by rothauserc)
1. For a given functions f and g, find the requested function and state its domain.... (answered by robertb)
For the given functions f and g, find the specified value of the following functions and... (answered by fractalier)
Functions f and g are given as follows f(x)= 5/x+3, g(x)= x/x+3. Find each of the... (answered by Alan3354)
3. If f(x)=square root 2x^2-1 and g(x)=x^1/2, find (and simplify) a) (f+g)(x) b)... (answered by CPhill)
If f(x)= square root 2x^2-1 and g(x)=x^1/2, find and simplify a) (f+g)(x) b) (f-g)(x) (answered by Alan3354)
f(x)= 1/x-1; g(x)= √x find f(g(g)) and g(f(g)). State the... (answered by stanbon)
For f(x) = |x-5| and g(x) = 2x + 1, find a. (f °g)(1) b. (g °g)(1) (answered by stanbon)
For f(x) = |x-5| and g(x) = 2x + 1, find a. (f °g)(1) b. (g °g)(1) (answered by stanbon,MathLover1)