Question

if $g(x)=x^2 - 2x + 5$, find the value of $g(-4)$.

Explanation:

Step1: Substitute \( x = -4 \) into \( g(x) \)

We have the function \( g(x) = x^2 - 2x + 5 \). To find \( g(-4) \), we substitute \( x=-4 \) into the function. So we get \( g(-4)=(-4)^2 - 2\times(-4)+5 \).

Step2: Calculate each term

First, calculate \( (-4)^2 \), which is \( 16 \). Then, calculate \( -2\times(-4) \), which is \( 8 \). Now we substitute these back into the expression: \( g(-4)=16 + 8+5 \).

Step3: Sum the terms

Add \( 16 \), \( 8 \), and \( 5 \) together. \( 16+8 = 24 \), and \( 24 + 5=29 \).

Answer:

\( 29 \)