Question

This problem always confuses me!
f(x) = 4x+5
g(x) = -x^2-6x+8

Find: g(x+h) - g(x)/h

Answer 1

Let me just give you one example.
let f(x) = x^2 + 3x -4
when i say find f(x+h) it is simply as
f(x+h) = (x+h)^2 + 3(x+h) - 4
i hope you understand now

Answer 2

ok... so the question is about 1st principles...

g(x + h) = -(x + h)^2 - 6(x+h) + 8

so you would need to distribute and simplify...

can you do that..?

Answer 3

how would the distribution of g(x-h) look like. if I can see that then i will be able to understand

Answer 4

take a look on my example
f(x) = x^2 + 3x - 4
f(x-h) = (x-h)^2 + 3 (x-h) - 4

Answer 5

ok that makes sense thnx

Answer 6

so, show your answer here now. let us check if you really understood :D

Answer 7

haha ok this is what i got -(h+6+2x)

Answer 8

so is it right or wrong

Answer 9

show your solution too :D

Answer 10

as in my work?

Answer 11

yup

Answer 12

alright (( -(x+h)^2 - 6(x+h) + 8 )) + (x^2 +6x + 8)/ h :thats how i set up the problem and then i distributed, combined like terms and then i divided it all by h

Answer 13

by the way some of the plus signs look really faint

Answer 14

do u see anything wrong?

Answer 15

well, i find it right.

Answer 16

ok thnx once again