Answer:
2
Step-by-step explanation:
we have
[tex]f(x)=2x+3[/tex]
To obtain f(x+h) substitute the variable x by (x+h) in f(x)
so
[tex]f(x+h)=2(x+h)+3[/tex]
Simplify
[tex]f(x+h)=2x+2h+3[/tex]
Determine
[tex]\frac{f(x+h)-f(x)}{h}[/tex]
substitutes the values
[tex]\frac{(2x+2h+3)-(2x+3)}{h}[/tex]
[tex]\frac{(2x+2h+3-2x-3)}{h}[/tex]
[tex]\frac{2h}{h}=2[/tex]
