Question # 01: Four option are given against each statement. Encircle the correct option.
\((viii)\)\(\;\)If \(f(x)=x^2-3x+2\), then the value of \(f(a+1)\) is equal to:
\( a) \quad \) \( a+1\)
\( b) \quad \) \( a^2+1\)
\(c) \quad \) \( a^2+2a+1\)
\( d) \quad \) \( a^2-a\)
Answer: \( d) \; \) \( a^2-a\)
Explanation:
\(f(x)=x^2-3x+2\)
\(f(a+1)=(a+1)^2-3(a+1)+2\)
\(\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =a^2+1^2+2a-3a-3+2\)
\(\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =a^2+1-a-1\)
\(\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =a^2-a\)