Math  /  Algebra

QuestionQuestion Given f(x)=x213f(x)=-x^{2}-13, find f(6)f(-6)
Answer Attempt 1 out of 2

Studdy Solution

STEP 1

1. We are given the function f(x)=x213 f(x) = -x^2 - 13 .
2. We need to find the value of f(6) f(-6) .

STEP 2

1. Substitute x=6 x = -6 into the function f(x) f(x) .
2. Simplify the expression to find f(6) f(-6) .

STEP 3

Substitute x=6 x = -6 into the function:
f(6)=(6)213 f(-6) = -(-6)^2 - 13

STEP 4

Simplify the expression:
f(6)=(36)13 f(-6) = -(36) - 13 f(6)=3613 f(-6) = -36 - 13 f(6)=49 f(-6) = -49
The value of f(6) f(-6) is:
49 \boxed{-49}

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