,
For this problem, y = f(x) = 3x^{2} − 5x − 1
on the domain of all real numbers.
1. Restrict y = f(x)to the domain {a ≤ x} and find the formula for the inverse function f^{−1}(y).
I found the vertex (5/6, -37/12)
But I am not sure what to do now for the problem. Any help is appreciated, thank you!
When talking about a function, domain and range are necessary to be mentioned, a mere calculation without a domain does not qualify for a function. The original function is defined on [5/6, infinity) --> [-37/12, infinity), and the inverse is defined from [-37/12, infinity) --> [5/6, infinity). Making the function bijective like this is necessary for an inverse being defined.
Salahuddin
Maths online