Question

Consider the following functions.f(x) = x2 + 2 and g(x) = -x + 4Step 2 of 4: Find g(b) - f(b). Simplify your answer.Answerg(b)-f(b) =

Answer 1

Given:

f(x) = x² +2

g(x) = -x + 4

Let's find g(b) - f(b).

$\text{ g\lparen b\rparen - f\lparen b\rparen}$$[-(\text{b\rparen + 4\rbrack - \lbrack\lparen b\rparen^^b2 + 2\rbrack}$$\text{ \lparen-b + 4\rparen - \lparen b^^b2 + 2\rparen}$$\text{ -b + 4 - b^^b2 - 2}$$\text{ -b^^b2 - b + 2}$

Therefore, g(b) - f(b) = -b² - b + 2