Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

For the given functions f and g, complete parts (a)-(h).

f(x) = 2x + 7
g(x) = 7x - 4

(a) Find (f + g)(x).

(f + g)(x) = __________ (Simplify your answer.)

Sagot :

GinnyAnswer
To find [tex]\((f+g)(x)\)[/tex] for the given functions [tex]\( f \)[/tex] and [tex]\( g \)[/tex], follow these steps:

1. Identify the functions [tex]\( f \)[/tex] and [tex]\( g \)[/tex]:
[tex]\[ f(x) = 2x + 7 \][/tex]
[tex]\[ g(x) = 7x - 4 \][/tex]

2. Add the functions [tex]\( f \)[/tex] and [tex]\( g \)[/tex]:
[tex]\[ (f+g)(x) = f(x) + g(x) \][/tex]

3. Substitute the expressions for [tex]\( f(x) \)[/tex] and [tex]\( g(x) \)[/tex]:
[tex]\[ (f+g)(x) = (2x + 7) + (7x - 4) \][/tex]

4. Combine like terms:
[tex]\[ (f+g)(x) = 2x + 7x + 7 - 4 \][/tex]

5. Simplify the expression:
[tex]\[ (f+g)(x) = (2x + 7x) + (7 - 4) \][/tex]
[tex]\[ (f+g)(x) = 9x + 3 \][/tex]

So, the simplified form of [tex]\((f+g)(x)\)[/tex] is:
[tex]\[ (f+g)(x) = 9x + 3 \][/tex]
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.