Help me solve these questions please and thank you.
1. Given f(x) = x^{2} + 3x -3 and g(x) = f ^{-1}(x) , find the value(s) of g(1).
2. given the function f(x) = 5/ 5x-16
a) Determine the inverse function
b) Explain how to find the domain and range of the function and its inverse.
3. a) Explain how you can use algebraic reasoning, rather than a vertical line test , to decide if a relation is a function?
b) How can you determine if the inverse of a function is a function by looking at the original graph of the function?