Question

Question 8 of 20If f(x) = 2x²+2 and g(x)=x2-1, find (f- g)(x).O A.3x²+3O B.x2²+1 O C.3x2² +1O D.x² +3

Answer 1

Solution

Step 1

Write the two functions:

$f\mleft(x\mright)=2x²+2\text{ }and\text{ }g\left(x\right)=x2-1$

Step 2

(f- g)(x) = f(g) - g(x)

$\begin{gathered} \left(f-g\right)\left(x\right)=2x²+2\text{ - \lparen}x^2-1) \\ \\ (f-g)(x)=2x^2+\text{ 2 - x}^2\text{ + 1} \\ \\ (f-g)(x)=x^2+3 \end{gathered}$

Final answer

D. x² +3