Given:
The function is:
[tex]g(a)=\dfrac{8-a}{4}[/tex]
To find:
The difference quotient of the function.
Solution:
Formula for difference quotient of the function f(x) is:
[tex]DQ=\dfrac{f(x+h)-f(x)}{h}[/tex]
We have,
[tex]g(a)=\dfrac{8-a}{4}[/tex]
The difference quotient of the function g(a) is:
[tex]DQ=\dfrac{g(a+h)-g(a)}{h}[/tex]
[tex]DQ=\dfrac{\dfrac{8-(a+h)}{4}-\dfrac{8-a}{4}}{h}[/tex]
[tex]DQ=\dfrac{\dfrac{8-a-h-8+a}{4}}{h}[/tex]
[tex]DQ=\dfrac{-h}{4h}[/tex]
[tex]DQ=-\dfrac{1}{4}[/tex]
Therefore, the difference quotient of the given function is [tex]-\dfrac{1}{4}[/tex].
Answer:
They are right, It is -1/4. The second one.
Step-by-step explanation:
Edge 2021
