anthonypratt53
Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Evaluate (f + g)(x) if f(x) = 2x^2 and g(x) = 3x – 2 when x = 3.

Sagot :

djtwinx017

Answer:

(f + g)(3) = 22.

Step-by-step explanation:

Given the following function operations:

(f + g)(x) if f(x) = 2x² and g(x) = 2x - 2, and that x = 3:

The function operation can also be expressed as follows:

(f + g)(x) = f(x) + g(x)

We could simply perform the required function operations separately, then add their results in the end. Substitute the value of x = 3 as an input into f(x) and g(x):

f(x) = 2x²

f(3) = 2(3)² = 2(9) = 18

Hence, f(3) = 18

g(x) = 2x - 2

g(3) = 2(3) - 2

g(3) = 6 - 2 = 4

g(3) = 4

(f + g)(x) = f(x) + g(x)

(f + g)(3) = f(3) + g(3)

(f + g)(3) = 18 + 4

(f + g)(3) = 22

Therefore, (f + g)(3) = 22.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.