Answer:
11. Ans;
[tex]f(x) = 2x - 3 \\ g(x) = x + 1 \\ \\ (fog)(x) = f(g(x)) \\ = 2(x + 1) - 3 \\ = 2x + 2 - 3 \\ = 2x - 1 \\ \\ (fog)(3) = f(g(3))\\ = 2(3) - 1 \\ = 6 - 1 \\ = 5[/tex]
_____o____o______
[tex](gof)(x) = g(f(x)) \\ = (2x - 3) + 1 \\ = 2x - 3 + 1 \\ = 2x - 2 \\ \\ (gof)( - 2) = g(f( - 2)) \\ = 2( - 2) - 2 \\ = - 4 - 2 \\ = - 6[/tex]
I hope I helped you^_^
