Find

Oct 2018
4
0
Earth
If F(t) = 4t + 7, find

Screen Shot 2020-03-05 at 6.31.50 PM.png
 

romsek

Math Team
Sep 2015
2,961
1,674
USA
What's the trouble?

Plug t=(3+h) into F(t), and then plug t=3 into it and subtract one from the other, then divide by h.
 
Oct 2018
4
0
Earth
Do you mean to do like so
(3+h) = 4t + 7
h = 4t + 4

(F(3 + 4t + 4) - F(3))/h
 
Feb 2010
738
162
I think what he means is

$F(\mbox{$\,\,\,\,\,\,$})=4(\mbox{$\,\,\,\,\,\,$})+7$

and you fill the parentheses with whatever you want.
 
Oct 2018
4
0
Earth
(4(3 + h) + 7 - (4(3) + 7)) / h

(12 + 4h + 7 - 12 + 7) / h

4h / h

4
 

topsquark

Math Team
May 2013
2,530
1,050
The Astral plane
(4(3 + h) + 7 - (4(3) + 7)) / h

(12 + 4h + 7 - 12 \(\displaystyle \color{red} -\) 7) / h

Your forgot to include the negative on the second 7. As it happens it doesn't change your final answer, which is correct.

-Dan