This is an awful question. Let's see what we can do with it.
Part A: What is the solution to the pair of equations represented by p(x) and f(x)?
Question writer, do you mean what is the solution to p(x)=f(x)? Yes? Then ask that.
p and f meet at (-2,-3), so p(x)=f(x) has solution x=-2.
Part B: Write any two solutions for f(x).
f(x) is a function. It doesn't have solutions. f(x)=0 has a single solution around x=-3.5.
Part C: What is the solution to the equation p(x) = g(x)? Justify your answer.
Finally a well-asked question. p and g meet at (0,2) so x=0 is the solution.
Justify the answer? p(0)=2, g(0)=2, p(0)=g(0), justified.