Question

What is the difference quotient of the function, g(a) = StartFraction 8 minus a Over 4 EndFraction?

PLEASE HELP

Answer 1

They are right, It is -1/4. The second one.

Explanation:

Edge 2021

Answer 2

Given:

The function is:

`g(a)=(8-a)/(4)`

To find:

The difference quotient of the function.

Solution:

Formula for difference quotient of the function f(x) is:

`DQ=(f(x+h)-f(x))/(h)`

We have,

`g(a)=(8-a)/(4)`

The difference quotient of the function g(a) is:

`DQ=(g(a+h)-g(a))/(h)`

`DQ=((8-(a+h))/(4)-(8-a)/(4))/(h)`

`DQ=((8-a-h-8+a)/(4))/(h)`

`DQ=(-h)/(4h)`

`DQ=-(1)/(4)`

Therefore, the difference quotient of the given function is
`-(1)/(4)`.