urgent urgent algebra
posted by zachary
find the composite function fog
f(X) = 1/X5,g(x)6/x
question 2
find inverse, domain range and asymatotes of each function
f(x)=3+e^4x
can some one help me please been stuck on these for 2 days need help solving thank you

Steve
assuming a typo, I see
f(x) = 1/(x5)
g(x) = 6/x
so, f◦g = f(g) = 1/(g5)
= 1/((6/x)5)
= 1/((65x)/x)
= x/(65x)
check for some value, say, x=2:
g(2) = 3
f(3) = 1/2
(f◦g)(2)=2/(65*2) = 2/4 = 1/2
y=3+e^(4x)
y3 = e^(4x)
ln(y3) = 4x
x = 4  ln(y3)
so, f^1(x) = 4  ln(x3)
domain of f is all reals
range is y>3
asymptote is y=3
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