Question

For this question, use the following functions.f(x) = 3x - 7g(x) = 10 - x2Find a simplified expression for f(g(x)).O 23 - 3x2O 23 + 3.c 2O 3x2 - 23O 3x2 – 30

Answer 1

To find the composed function f(g(x)) we insert the function g(x) inside the x of the function f(x) like this

`\begin{gathered} f(x)=3x-7 \\ g(x)=10-x^2 \end{gathered}`

`\begin{gathered} f(g(x))=3(10-x^2)-7 \\ f(g(x))=30-3x^2-7 \\ f(g(x))=23-3x^2 \end{gathered}`