Question

f(x) = 2x3 + 6x2 – 5x – 3
g(x) = 3x – 4
Find (f - g)(x).
O A. (f - g)(x) = 2x3 + 6x2 – 2x – 7
O B. (f - g)(x) = 2x3 + 6x2 – 2x + 1
O c. (f - g)(x) = 2x3 + 6x2 – 8x – 7
O D. (f - g)(x) = 2x3 + 6x2 – 8x + 1

Answer 1

Answer:

D) is the answer

Step-by-step explanation:

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Answer 2

The correct answer is option D which is  (f - g)(x) = 2x³ + 6x² – 8x + 1.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that:-

f(x) = 2x³ + 6x² – 5x – 3

g(x) = 3x – 4

The function (f-g)x will be calculated as follows:-

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( 2x³ + 6x² – 5x – 3 )  - ( 3x – 4 )

(f - g)(x) =  2x³ + 6x² – 5x – 3 - 3x + 4

(f - g)(x) =   2x³ + 6x² – 8x + 1

Therefore the correct answer is option D which is  (f - g)(x) = 2x³ + 6x² – 8x + 1.

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