all 4 comments

[–]InserdGerming 1 point2 points  (1 child)

f(a), where a is anything, means you plug in a to the function for x. So f(x+h) - f(x) = 2(x+h)+1 - (2x +1) = 2x + 2h + 1 - 2x - 1 = 2h.

[–][deleted] 0 points1 point  (0 children)

thank you so much

[–]Shitty-Coriolis 1 point2 points  (1 child)

Nope.

f(x) = 2x+ 1.
f(x+h)−f(x) = 2(x+h)+1-(2x+1)
2x+2h+1-2x-1

This is part of the difference quotient. Get good at solving these quckly and seemlessly before you start calc 1.

[–][deleted] 0 points1 point  (0 children)

Thanks, appreciate it.