If $f(x) = x^2 - x + 1$, then $f(x+1)$ is : (a) $1$ (b) $x^2$ (c) $x^2 + x + 1$ (d) $x$

If f(x) = x² - x + 1, then f(x+1) is : (a) 1 (b) x – Class 11 Business Mathematics Statistics

Question 34 of 49

f(x) = x^2 - x + 1

(a)

1

(b)

x^2

(c)

x^2 + x + 1

(d)

x

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Substituting $x+1$ into $f(x)=x^2-x+1$ gives $f(x+1)=x^2+x+1$ , so the answer is option (c).

Given $f(x) = x^2 - x + 1$ , replace every $x$ with $(x+1)$ :

$f(x+1) = (x+1)^2 - (x+1) + 1.$

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