112k views
0 votes
Evaluate (f + g)(x) if f(x) = 2x^2 and g(x) = 3x – 2 when x = 3.

1 Answer

6 votes

Answer:

(f + g)(3) = 22.

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.

User Andrew Cassidy
by
7.9k 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