Question

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

Answer 1

ANSWER :

(f - g)(x) = x^2 + 8

EXPLANATION :

From the problem, we have :

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

(f - g)(x) is the difference between the two functions

That will be :

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