Question

1. $f(x) = -x^2 + 4x - 3$; find $f(1)$

Explanation:

Step1: Substitute \( x = 1 \) into \( f(x) \)

We have the function \( f(x)=-x^{2}+4x - 3 \). To find \( f(1) \), we replace every \( x \) in the function with \( 1 \). So we get \( f(1)=-(1)^{2}+4\times(1)-3 \).

Step2: Simplify the expression

First, calculate the powers and multiplications: \( (1)^{2}=1 \), so \( -(1)^{2}=- 1 \), and \( 4\times(1) = 4 \). Then substitute these values back into the expression: \( f(1)=-1 + 4-3 \). Next, perform the additions and subtractions from left to right: \( -1+4 = 3 \), and then \( 3 - 3=0 \).

Answer:

\( 0 \)