Evaluate the difference quotient for the given function. simplify your answer. f(x)=1/x , (f(x) - f(a))/x-a

The formula for difference quotient is

Here f(x) =

So f(a) =

First we shall find f(x) - f(a)

We get

f(x) - f(a)

=

Making denominators same we get

So we get

f(x) - f(a) =

So the difference quotient shall be

Hence the difference quotient is

1.5%

step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: