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kingstar
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Homework Statement
5. (a) The functions f and g are defined by
f : x|→ 2x + ln3 (x is a real number)
g : x|→ e^3x (x is a real number)
i) Find f^-1(x) and g^-1(x) and state their domain of definition
ii) Show that f^-1 f = f f^-1 = x (x is a real number)
iii) Find the composite function gf x( )and state the range.
Homework Equations
The Attempt at a Solution
So i worked out the inverse for each.
f^-1(x) = 1/2(x-ln3)
g^-1(x) = 1/3(lnx)
But for part two I'm not sure what this means, does it mean that i should sub my inverse function into my original function and then vice versa?
Also when i double checked my answer, it has log's in place of my ln's. Was i meant to use log instead of ln? :S