Need help with functions, please.
For each of the following bijective functions find the range S and the inverse:
a.) f : x |→ x² - 1 (x ∈ R, x ≥ 0)
b.) f : x |→ (x + 1)² ((x ∈ R, x ≤ -2)
so, u wanna find the range from the function....
The simplest way is to write down/construct the graph from the function, the range of the is the interval of y-axis that fit the graph.
example:
- the range (S) for the graph is (0,inf)
and to find the inverse from the function,
1)
let,$\displaystyle y=x^2-1$
the objectives to arrange the function until you get the equation for x=...
........hope it help..........