11-09-2018
Mathematics

contestada

let f(x)=16x^2-x. Find f(x+1)-f(x)

Respuesta :

pokeman11 pokeman11

11-09-2018

f(x+1) = 16(x+1)² - (x+1) = 16(x²+2x+1) - x - 1

= 16x² + 32x + 16 - x - 1 = 16x²+31x+15

so

f(x+1)-f(x) = 16x²+31x+15 - (16x² - x)

= 16x²+31x+15 - 16x² + x

= 32x + 15

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