Question

Here’s math questions see below:Find and simplify the difference quotient f(x+h)-f(x) ___ hfor the given function: f(x)=2x-5

Answer 1

The given function is:

`\begin{gathered} f(x)=2x-5 \\ f(x+h)=2(x+h)-5=2x+2h-5 \end{gathered}`

So the expression is evaluated as follows:

`\begin{gathered} (f(x+h)-f(x))/(h)=(2x+2h-5-(2x-5))/(h) \\ =(2x+2h-5-2x+5)/(h) \\ =(2h)/(h) \\ =2 \end{gathered}`

So the value of the expression is 2.