let f(x)=3x^2-4x+2 find f(x+h)-f(x)/h

Answered question

2022-02-14

let f(x)=3x^2-4x+2 find f(x+h)-f(x)/h

Answer & Explanation

2022-02-21

f(x+h) = 3(x+h)^2 - 4(x+h) + 2 = 3x^2 + 6xh + 3h^2 - 4x - 4h + 2 so f(x+h) - f(x) = 6xh +3h^2 - 4h. dividing by h gives 6x + 3h - 4
Vasquez

Vasquez

Expert2022-03-13Added 669 answers

f(x)=3x24x+2f(x+h)=3(x+h)24(x+h)+2=3(x2+h2+hx)4x4h+2=3x2+3h2+6hx4x4h+2f(x+h)f(x)h=(32+3h2+6hx−̸4x4h2)(32−̸4x2)h=3h2+6hx4hh=(3h+6x4)=3h+6x4

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