Question

given f(x) = 16 - (x + 19)², find f(-14).

Explanation:

Step1: Substitute \( x = -14 \) into \( f(x) \)

We have the function \( f(x) = 16 - (x + 19)^2 \). Substitute \( x=-14 \) into the function:
\( f(-14)=16 - (-14 + 19)^2 \)

Step2: Simplify the expression inside the square

First, calculate the value inside the parentheses: \( -14 + 19 = 5 \)
So the expression becomes \( f(-14)=16 - (5)^2 \)

Step3: Calculate the square and then subtract

Calculate \( 5^2=25 \), then \( 16 - 25=-9 \)

Answer:

\( -9 \)