CJwhy CJwhy
  • 23-02-2021
  • Mathematics
contestada

Find (f(x+h)-f(x))/(h) for the given function.

f (x) = 5x2 - 6x + 4

Respuesta :

friendIyhelper friendIyhelper
  • 23-02-2021

Answer: 5h + 10x -6

Step-by-step explanation:

if we plug f(x) into the equation we get:

[tex]\frac{[5(x+h)^2 - 6(x+h) + 4] - [5x^2 - 6x + 4]}{h}[/tex]

now from here we can simplify:

[tex]\frac{5x^2 + 5h^2 + 10xh - 6x - 6h + 4 - 5x^2 + 6x - 4}{h}[/tex]

now add liked terms

[tex]\frac{5h^2 + 10xh - 6h}{h}[/tex]

cancel what we can:

5h + 10x - 6

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