Question

function g is defined as $g(x) = -f(-x)$. what is the graph of g? choose 1 answer: a, b, c, d (with respective graphs shown)

Explanation:

Step1: Analyze transformation of \(f(-x)\)

\(f(-x)\) reflects \(f(x)\) over y-axis.

Step2: Analyze transformation of \(-f(-x)\)

\(-f(-x)\) reflects \(f(-x)\) over x-axis.

Step3: Match with options

The combined transformation (reflect over y then x) matches option B.

Answer:

B. (The graph of option B)