Question

W(x) = x³ + 4x²; Find w(t +2)

Answer 1

To find w(t + 2), replace every instance of x in w(x) = x³ + 4x² with (t+2) and expand the terms.

Step-by-step explanation:

To find w(t+2), we need to replace every instance of x in the function w(x) = x³ + 4x² with (t+2). So, we have:

w(t+2) = (t+2)³ + 4(t+2)²

Expanding the terms gives us:

1. (t+2)³ = t³ + 6t² + 12t + 8
2. 4(t+2)² = 4(t² + 4t + 4) = 4t² + 16t + 16

Combining these terms, we get:

w(t+2) = t³ + 6t² + 12t + 8 + 4t² + 16t + 16 = t³ + 10t² + 28t + 24

Learn more about Using function substitution and expanding terms to find the value of a function