work HW Mod1 0 Ex Score 0 af 5 pts Evaluate the given functi

work: HW Mod1 0 Ex. Score: 0 af 5 pts Evaluate the given function. f(x) = 3x, + 7: find f(x + 1)-[f(x)+1] x)-x Simplify your answer.) 1(Simplify your answer.)

Solution

f(x) = 3x² +7

f(x+1) = 3(x +1)² + 7 = 3(x² + 2x +1) + 7

= 3x² +6x + 10

f(x+1) - [f(x) + 1] = 3x² +6x + 10 - [3x² +7 +1]

= 3x² +6x + 10 -3x² -8

= 6x +2

Hence f(x+1) - [f(x) + 1] = 6x +2