f(x) = x³ - 3x² + 3x - 1 f(x + 1) What is the value? A) x³+1 B) x³-1 C) x³ D) x² E) x²+1

asked Jun 15, 2015 76.5k views

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f(x) = x³ - 3x² + 3x - 1

f(x + 1) What is the value?

A) x³+1
B) x³-1
C) x³
D) x²
E) x²+1

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f(x)=(x-1)³ = x³ -3x² +3x -1
f(x+1) = (x+1-1)³ = x³

Dio answered Jun 16, 2015

by Dio

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1 vote

$f(x+1)=(x+1)^3-3(x+1)^2+3(x+1)-1\\ f(x+1)=x^3+3x^2+3x+1-3(x^2+2x+1)+3x+3-1\\ f(x+1)=x^3+3x^2+6x+3-3x^2-6x-3\\ f(x+1)=x^3 \Rightarrow C$

Nuclear answered Jun 21, 2015

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