Question

If f(x) = x² - 1, and g(x) = x + 2, then

Answer 1

`g(f(x))=1x^2+0x+1`

Step-by-step explanation:

Given the functions f(x) and g(x) defined as follows:

`\begin{gathered} f(x)=x^2-1 \\ g(x)=x+2 \end{gathered}`

The composite function g(f(x)) is evaluated below:

`\begin{gathered} g(x)=x+2 \\ g(f(x))=f(x)+2 \\ =(x^2-1)+2 \\ g(f(x))=x^2+1 \end{gathered}`

To complete the given question, we write:

`g(f(x))=1x^2+0x+1`

Note: There is no term containing x, therefore, its coefficient is 0.