198k views
4 votes
Suppose that the functions u and w are defined as follows.

u(x)=x^2 + 6
w(x)= square root of x+1

Find the following...

(u•w)(3)
(w•u)(3)

1 Answer

1 vote

Answer:

(u•w)(3) = 10

(w•u)(3) = 4

Explanation:

u(x) = x² + 6

w(x) = √(x + 1)

(u•w)(x) = u(w(x))

(u•w)(x) = (w(x))² + 6

(u•w)(x) = (√(x + 1))² + 6

(u•w)(x) = x + 1 + 6

(u•w)(x) = x + 7

(u•w)(3) = 3 + 7

(u•w)(3) = 10

(w•u)(x) = w(u(x))

(w•u)(x) = √(u(x) + 1)

(w•u)(x) = √(x² + 6 + 1)

(w•u)(x) = √(x² + 7)

(w•u)(3) = √(3² + 7)

(w•u)(3) = 4

User Kenlly Acosta
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories