SOLUTION: For f(x) = x2 + 6x + 7, evaluate f(x + 2) − f(x). Simplify.

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: For f(x) = x2 + 6x + 7, evaluate f(x + 2) − f(x). Simplify.       Log On


   

Question 1048310: For
f(x) = x2 + 6x + 7,
evaluate
f(x + 2) − f(x).
Simplify.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+x%5E2+%2B+6x+%2B+7,
evaluate
f%28x+%2B+2%29-+f%28x%29
first find f%28x+%2B+2%29

f%28x+%2B+2%29=%28x+%2B+2%29%5E2+%2B+6%28x+%2B+2%29+%2B+7

f%28x+%2B+2%29=x%5E2+%2B+4x%2B4+%2B+6x+%2B12+%2B+7
f%28x+%2B+2%29=x%5E2+%2B+10x%2B23

now find f%28x+%2B+2%29-+f%28x%29

f%28x+%2B+2%29-+f%28x%29=x%5E2+%2B+10x%2B23-%28x%5E2+%2B+6x+%2B+7%29
f%28x+%2B+2%29-+f%28x%29=x%5E2+%2B+10x%2B23-x%5E2+-+6x+-+7
f%28x+%2B+2%29-+f%28x%29=cross%28x%5E2%29+%2B+10x%2B23-cross%28x%5E2%29+-+6x+-+7
f%28x+%2B+2%29-+f%28x%29=+4x%2B16