Question

Given: F(x) = 2x + 3, find (f(x+h)-f(x))/h and simplify.

Answer 1

Answer:

2

Step-by-step explanation:

we have

$f(x)=2x+3$

To obtain f(x+h) substitute the variable x by (x+h) in f(x)

so

$f(x+h)=2(x+h)+3$

Simplify

$f(x+h)=2x+2h+3$

Determine

$\frac{f(x+h)-f(x)}{h}$

substitutes the values

$\frac{(2x+2h+3)-(2x+3)}{h}$

$\frac{(2x+2h+3-2x-3)}{h}$

$\frac{2h}{h}=2$