225k views
2 votes
Question 23 of 25

f(x) = 2x² + 4x - 6
g(x) = 4x³6x² +3
Find (f + g)(x).
O A. (f+g)(x) = 6x³ - 2x² - 3
O B. (f+g)(x) = 4x³ - 4x² + 4x - 3
O c. (f+g)(x) = -4x³ +8x² + 4x - 9
OD. (f+g)(x) = 4x³ + 2x² - 2x - 3
SUBMIT

User JCLL
by
8.6k points

1 Answer

2 votes
  • Answer: OPTION (B): ( f + g ) (x) = 4x^3 - 4x^2 + 4x - 3

  • Therefore, The Solution is:

OPTION (B): ( f + g ) (x) = 4x^3 - 4x^2 + 4x - 3

Explanation:

  • Write down the Given Functions:

f (x) = 2x^2 + 4x - 6

This is what you submitted:

g (x) = 4x^3 6x^2 + 3

  • For this equation is it?: MINUS OR PLUS after 4x^3?

g(x) = 4x^3 - 6x^2 + 3 or g (x) = 4x^3 + 6x^2 + 3

  • ADD THE FUNCTIONS:

( f + g ) (x) = 2x^2 + 4x - 6 + 4x^3 + 6x^2 + 3

  • COMBINE LIKE TERMS:

( f + g ) (x) = 4x^3 + (2x^2 + 6x^2 ) + (4x) + ( - 6 + 3 )

  • SIMPLIFY:

( f + g) (x) = 4x^3 + 8x^2 + 4x - 3

  • DRAW THE CONCLUSION:

Therefore, The Solution is:

OPTION (B): ( f + g ) (x) = 4x^3 - 4x^2 + 4x - 3

I hope this helps you!

User Nelstaar
by
7.8k points

Related questions

asked Sep 12, 2023 105k views
Szenis asked Sep 12, 2023
by Szenis
8.2k points
1 answer
4 votes
105k views
asked Sep 6, 2024 59.2k views
MaxCore asked Sep 6, 2024
by MaxCore
7.8k points
1 answer
4 votes
59.2k views
1 answer
1 vote
163k views