SOLUTION: f(x) = x2 − 2x + 4, (f(7 + h) − f(7))/ h , h ≠ 0 find the difference quotient and simplify your answer

Algebra ->  Functions -> SOLUTION: f(x) = x2 − 2x + 4, (f(7 + h) − f(7))/ h , h ≠ 0 find the difference quotient and simplify your answer      Log On


   

Question 1196097: f(x) = x2 − 2x + 4, (f(7 + h) − f(7))/ h , h ≠ 0
find the difference quotient and simplify your answer
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if
f%28x%29+=+x%5E2+-+2x+%2B+4+
find:
%28f%287+%2B+h%29+-f%287%29%29%2F+h , h ≠ 0

first find f%287+%2B+h%29++
f%287+%2B+h%29+=+%287+%2B+h%29%5E2+-+2%287+%2B+h%29%2B+4
f%287+%2B+h%29+=+h%5E2+%2B+14h+%2B+49-+14+-2h%2B+4+
f%287+%2B+h%29+=+h%5E2+%2B+12+h+%2B+39

now find f%287%29
f%287%29+=+7%5E2+-+2%2A7+%2B+4+=39

then
%28f%287+%2B+h%29+-f%287%29%29%2F+h+=%28h%5E2+%2B+12+h+%2B+39+-39%29%2F+h+
%28f%287+%2B+h%29+-f%287%29%29%2F+h+=%28h%5E2+%2B+12h+%29%2F+h+
%28f%287+%2B+h%29+-f%287%29%29%2F+h+=h%28h+%2B+12+%29%2F+h+
%28f%287+%2B+h%29+-f%287%29%29%2F+h+=h+%2B+12+