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NDA 2021

Exam: NDA
Year: 2021
Subject: Mathematics
Chapter: Functions

NDA 2021 · Mathematics · Functions

If f(x+1)=x^2-3 x+2 , then what is f(x) equal to?

If

f(x+1)=x^2-3 x+2

, then what is

f(x)

equal to?

Options

A $x^2-5 x+4$
B $x^2-5 x+6$
C $x^2+3 x+3$
D $x^2-3 x+1$

Correct answer

B. $x^2-5 x+6$

Step-by-step solution

For

\begin{aligned} f(x+1) & =x^2-3 x+2 \\ & =\left(x^2+2 x+1\right)-5 x-5+6\end{aligned}

\begin{aligned} & \quad=(x+1)^2-5(x+1)+6 \\ & \therefore f(x)=x^2-5 x+6\end{aligned}

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