Step-by-step explanation:
[tex]g(x) = 2x - 5[/tex]
[tex]h(x) = 3x + 7[/tex]
To determine [tex]g(h(x))[/tex], wherever you see an [tex]x[/tex] in [tex]g(x)[/tex], replace it with the equation [tex]h(x)[/tex]:
[tex]g(x) = 2x - 5[/tex]
[tex]g(h(x)) = 2(h(x)) - 5[/tex]
[tex]g(h(x)) = 2(3x + 7) - 5[/tex]
[tex]g(h(x)) = 6x + 14 - 5[/tex]
[tex]g(h(x)) = 6x + 9[/tex]
