Question

Question 4 of10If f(x) = 2x² + 1 and g(x)=x2-7, find (f- g)(x).

Answer 1

Solution:

Given the functions below

$\begin{gathered} f(x)=2x^2+1 \\ g(x)=x^2-7 \end{gathered}$

The composite function will be

$\begin{gathered} (f-g)(x)=(2x^2+1)-(x^2-7) \\ (f-g)(x)=2x^2+1-x^2+7=2x^2-x^2+1+7=x^^2+8 \\ (f-g)(x)=x^2+8 \end{gathered}$

Hence, the answer is x²+8