Question

Find the difference Colton of earth that is fine for the following function

Answer 1

GIven:

`f(x)=-5x+7`

Required:

To find the value of

`(f(x+h)-f(x))/(h),h\\e0`

Step-by-step explanation:

To find the value of f(x+h) we have to substitute (x+h) in the function f(x) instead of 'x'

The simplify with the given question.

`\begin{gathered} f(x+h)=-5(x+h)+7_{} \\ =-5x-5h+7 \end{gathered}`

Simplifying for the value,

`\begin{gathered} (f(x+h)-f(x))/(h)=(-5x-5h+7-(-5x+7))/(h) \\ =(-5x-5h+7+5x-7)/(h) \\ =(-5h)/(h) \\ =-5 \end{gathered}`

Final Answer:

`(f(x+h)-f(x))/(h)=-5`