Question

If p(x)=3−x² and q(x)=2x, which value is equivalent to (p∘q)(−5)?

A) -97
B) -280
C) 103
D) 220

Answer 1

The value of (p∘q)(−5) is -44.

Step-by-step explanation:

To find the value of (p∘q)(-5), we need to substitute -5 into the expression for p and then substitute the result into the expression for q.

Substituting -5 into p(x) = 3 - x² gives us p(-5) = 3 - (-5)².

Simplifying this, we have p(-5) = 3 - 25 = -22.

Next, substituting -22 into q(x) = 2x gives us q(-22) = 2(-22).

Simplifying this, we have q(-22) = -44.

Therefore, (p∘q)(-5) = -44.