Answer:
In a nutshell, [tex]g(x) = x+2[/tex].
Step-by-step explanation:
A composition is operation between function that consist in replacing the independent variable of the first function, [tex]f(x)[/tex] in this case, for [tex]g(x)[/tex]. Common notations for composition between functions are [tex]f(g(x))[/tex] and [tex]f\circ g (x)[/tex]. If we know that [tex]h(x) = f\circ g (x) = (x+2)^{2}[/tex] and [tex]f(x) = x^{2}[/tex], then [tex]g(x) = x+2[/tex].
In a nutshell, [tex]g(x) = x+2[/tex].
