Respuesta :
Answer:
4x-3
Step-by-step explanation:
Given that there is a function in x as
[tex]F(x) = 2x^2-3x+5[/tex]
To find the difference quotient
[tex]F(x+h) = 2(x+h)^2-3(x+h)+5\\= 2x^2+4xh+h^2-3x-3h+5[/tex]
[tex]F(x+h)-F(x) = 4xh -3h[/tex]
Divide by h
[tex]\frac{F(x+h)-F(x)}{h} =\frac{4xh-3h}{h} \\=4x-3[/tex]
