Question

the functions q and r are defined as follows.
q(x) = 2x + 2
r(x) = -x² + 2
find the value of r(q(-3)).
r(q(-3)) =

Explanation:

Step1: Calculate \( q(-3) \)

Substitute \( x = -3 \) into \( q(x) = 2x + 2 \).
\( q(-3) = 2(-3) + 2 = -6 + 2 = -4 \)

Step2: Calculate \( r(q(-3)) = r(-4) \)

Substitute \( x = -4 \) into \( r(x) = -x^2 + 2 \).
\( r(-4) = -(-4)^2 + 2 = -16 + 2 = -14 \)

Answer:

\( -14 \)