MadridY228701 MadridY228701
  • 03-11-2022
  • Mathematics
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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

Respuesta :

LewinK563557 LewinK563557
  • 03-11-2022

The given function is:

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

So the expression is evaluated as follows:

[tex]\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{2x+2h-5-(2x-5)}{h} \\ =\frac{2x+2h-5-2x+5}{h} \\ =\frac{2h}{h} \\ =2 \end{gathered}[/tex]

So the value of the expression is 2.

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