alexandrasanchez0814
alexandrasanchez0814 alexandrasanchez0814
  • 01-01-2020
  • Mathematics
contestada

question 14. Select the correct answer. If f(x)=x^2/x+3, find f(x+h)

Respuesta :

calculista
calculista calculista
  • 07-01-2020

Answer:

[tex]f(x+h)=\frac{x^2+2h+h^2}{x+h+3}[/tex]

Step-by-step explanation:

we have

[tex]f(x)=\frac{x^2}{x+3}[/tex]

To find out f(x+h), substitute the variable x by the variable (x+h) in the function f(x)

so      

[tex]f(x+h)=\frac{(x+h)^2}{(x+h)+3}[/tex]

[tex]f(x+h)=\frac{x^2+2h+h^2}{x+h+3}[/tex]

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