Question

Need help in this mathquestion. The function h(x)=(x+2)^2 can be expressed in the form f(g(x)) where f(x)=x^2 , and g(x) is defined below:

Answer 1

Answer:

In a nutshell, $g(x) = x+2$.

Step-by-step explanation:

A composition is operation between function that consist in replacing the independent variable of the first function, $f(x)$ in this case, for $g(x)$. Common notations for composition between functions are $f(g(x))$ and $f\circ g (x)$. If we know that $h(x) = f\circ g (x) = (x+2)^{2}$ and $f(x) = x^{2}$, then $g(x) = x+2$.

In a nutshell, $g(x) = x+2$.