Question

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

Answer 1

• 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!