Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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]
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.