Given the functions
[tex]\begin{gathered} f(x)\text{ = x+2} \\ g(x)=x^2 \end{gathered}[/tex]
To find (g o f)(x):
(g o f)(x) is evaluated as g(f(x)).
This implies that the function f(x) is substituted into the g(x) function.
Thus,
[tex]\begin{gathered} \text{Substitute f(x) into g(x)} \\ g(f(x))=(x+2)^2 \\ open\text{ brackets} \\ g(f(x))=x^2+4x+4 \\ \end{gathered}[/tex]
Hence, the function (g o f)(x) is given as
[tex](g\circ f)(x)=x^2\text{ + 4x + 4}[/tex]
