Answer:
[tex]g(x) - f(x) = x^{2} - 2x - 4[/tex]
Step-by-step explanation:
g(x) - f(x) = [tex](x^{2} + 1) - (2x + 5)[/tex]
Multiply the -1 in then add the two expressions together.
[tex](x^{2} + 1) + (-2x - 5) = x^{2} - 2x - 4[/tex]