The function f is defined by f : x → 3 + ln (x + 2), x ∈ R , x ≥ k, where k is a constant. Given that the range of f is f(x) ≥ 3,
a) find the value of k,
b) find f −1(x), stating its domain clearly.
Can someone tell me if I have answered this question correctly?
For part a), I drew a graph of the function and worked out that when y=3, x=-1, therefore the domain must be x ≥ -1, therefore k = -1.
For part b) I worked out that the inverse function is ex-3 -2 which I am not sure is correct.
I don't know how to find the domain for this though... How do you do it?
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Last edited by jessyjellytot14; 26-08-2016 at 19:07.
- 26-08-2016 19:06
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