448,079 views
20 votes
20 votes
If f (x) = 4x² + 3x - 5, then f(x+h)-f(x)/ h is equal to which of the following?​


If f (x) = 4x² + 3x - 5, then f(x+h)-f(x)/ h is equal to which of the following?​ ​-example-1
User Asclepius
by
3.0k points

1 Answer

19 votes
19 votes

Answer:

Option 3

Explanation:


f(x)=4x^2 + 3x-5 \\ \\ f(x+h)=4(x+h)^2+3(x+h)-5 \\ \\ =4(x^2+2xh+h^2)+3x+3h-5 \\ \\ f(x+h)-f(x)=4(x^2+ 2xh+h^2)+3(x+h)-5-(4x^2+3x-5) \\ \\ (f(x+h)-f(x))/(h)=(4(x^2+ 2xh+h^2)+3(x+h)-5-(4x^2+3x-5))/(h)

User Michael Moussa
by
3.2k points