Mathematics

Question

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

1 Answer

  • 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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