i need to plug in these two and find the quitient

Question

f(a + h) − f(a)

h

on that I need to find for f(X)=6-5x

Answer 1

This fraction is one of the basic fractions of the beginning of calculus study. It is not as hard as it looks.

The given equation is f(x) = 6 - 5x

So putting (a + h) in place of x gives.

f(a + h) = 6 - 5(a + h)

Simplify this expression into 6 - 5a - 5h

Now let's move to the second part of the numerator. Put a in place of x.

f(a) = 6 -5a

Now let's put the pieces together and simplify

f(a + h) - f(a) = (6 - 5a - 5h) - (6 - 5a) = 6 - 5a - 5h - 6 + 5a = -5h = -5

h h h h

The answer is -5.

Answer 2

f(x) = 6 - 5x

[f(a+h) - f(a)] / h = [6 - 5(a+h) - (6 - 5a)] / h = -5h / h = -5