Answer:
[tex]=n^2-2n+6[/tex]
Step-by-step explanation:
[tex]f(n ) = n^2 + 1[/tex]
[tex]g(n) = 2n - 5[/tex]
[tex]f(n)-g(n)=(n^2 + 1)-(2n - 5)[/tex]
[tex]\left(n^2+1\right)-\left(2n-5\right)[/tex]
[tex]=n^2+1-\left(2n-5\right)[/tex]
[tex]=n^2+1-2n+5[/tex]
[tex]=n^2-2n+6[/tex]