For the first equation:
When x=-5
[tex]2x+3n[/tex][tex]2(-5)+3n[/tex][tex]-10+3n[/tex]
When x=-1
[tex]2x+3n_{}[/tex][tex]2(-1)+3n[/tex][tex]-2+3n[/tex]
For the second equation:
When x=5
[tex]2x^2-3x-9[/tex][tex]2(5)^2-3(5)-9[/tex][tex]50-15-9[/tex][tex]=26[/tex]
when x=-1
[tex]2x^2-3x-9[/tex][tex]2(-1)^2-3(-1)-9[/tex][tex]2+3-9[/tex][tex]=-4[/tex]
Now, we need to know the value for n to make the function continues:
We need to find when:
Lim when x tends to a of f(x)= f(-1)
Lim when x tends to -1 (negative)=-4
Lim when x tends to -1(positive) of -2+3n=-4
Solve for n :
-2+3n = -4
3n = -4+2
3n = -2
n=-2/3