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 ->  Functions -> 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)=       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=1%2Fx%5Ea+
+g%28x%29=1%2Fx%5Eb
find g%2Af+and satte its domain
Assume a%3E1 and+b%3E1
%28g%2Af%29%28x%29=%281%2Fx%5Eb%29%281%2Fx%5Ea%29
%28g%2Af%29%28x%29=1%2F%28x%5Eb%2Ax%5Ea%29
%28g%2Af%29%28x%29=1%2Fx%5E%28b%2Ba%29

since given a%3E1 and+b%3E1, domain is
{ x element R: x%3C%3E0 }


Answer by ikleyn(52776) About Me  (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.