Answer:
[tex]g(f(x))=1x^2+0x+1[/tex]
Explanation:
Given the functions f(x) and g(x) defined as follows:
[tex]\begin{gathered} f(x)=x^2-1 \\ g(x)=x+2 \end{gathered}[/tex]
The composite function g(f(x)) is evaluated below:
[tex]\begin{gathered} g(x)=x+2 \\ g(f(x))=f(x)+2 \\ =(x^2-1)+2 \\ g(f(x))=x^2+1 \end{gathered}[/tex]
To complete the given question, we write:
[tex]g(f(x))=1x^2+0x+1[/tex]
Note: There is no term containing x, therefore, its coefficient is 0.
