Question

Function question!!

(question in comments)

Answer 1

Given f(x) =x^2- 1, find the value \[\frac{ f(x+h) - f(x) }{ h }\]

Answer 2

I just need help in getting started please! :)

Answer 3

Would the next step be\[\frac{ ((x^2 - 1) +h) - (x^2 - 1) }{ h }\]

Answer 4

your step isn't correct.

(x^2+2xh+h^2-1-x^2+1)/h=2x+h
that's the answer :)

Answer 5

How did you get there? But thank you!

Answer 6

f(x+h) means replace x with (x+h) in the expression x^2 -1

in other words ( (x+h)^2 -1)

Answer 7

Oh so I just substituted into the wrong equation. I see now! Thank you. that was super helpful

Answer 8

it's confusing because they use x in both places.

if we had
f(y) = y^2 - 1
and we want f(x+h)
we replace y with (x+h): ( (x+h)^2 ) - 1

Answer 9

Ohh I see. Okay, thank you for explaining!! :)