Question

Let \( f \) and \( g \) be functions from \( \mathbb{R} \) to \( \mathbb{R} \) defined as

\( f(x) = \begin{cases} 7x^2 + x - 8, & x \le 1 \\ 4x + 5, & 1 < x \le 7 \\ 8x + 3, & x > 7 \end{cases} \)

\( g(x) = \begin{cases} |x|, & x < -3 \\ 0, & -3 \le x < 2 \\ x^2 + 4, & x \ge 2 \end{cases} \)
Then

• A. \((f\circ g)(-3)=8\)
• B. \((f\circ g)(9)=683\)
• C. \((g\circ f)(0)=-8\)
• D. (g∘ f)(6)=427

Hint:

Always check the correct interval before applying a piecewise function.

Answer 1

The Correct Option is D