Given the function f(x)=3x^(2)-1, express the value of (f(x+h)-f(x))/(h) in simplest form. I

asked Jul 15, 2024 69.1k views

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Answer:

Hi,

3h+6x

Explanation:

$f(x)=3x^2-1\\\\(f(x+h)-f(x))/(h) =(3(x+h)^2-1-(3x^2-1))/(h) \\\\=(3(x^2+h^2+2xh)-1-(3x^2+1)/(h) \\\\=(3h(h+2x))/(h) \\\\=3h+6x$

Kardi Teknomo answered Jul 19, 2024

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