kalen62
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f(x) = 2x² + 4x - 5
g(x) = 6x3 – 2x2 + 3
Find (f – g)(x).
A. (f – g)(x) = –6x3 + 4x2 + 4x – 2
B. (f - g)(x) = 6x + 4x – 2
C. (f - g)(x) b= 6x? – 4x² - 4x + 8
D. (f - g)(x) = –6x2 + 4x2 + 4x – 8

Fx 2x 4x 5 Gx 6x3 2x2 3 Find F Gx A F Gx 6x3 4x2 4x 2 B F Gx 6x 4x 2 C F Gx B 6x 4x 4x 8 D F Gx 6x2 4x2 4x 8 class=

Sagot :

greenforestaz

Step-by-step explanation:

step 1. (f - g)x = f(x) - g(x)

step 2. f(x) - g(x) = (2x^2 + 4x - 5) - (6x^3 - 2x^2 + 3)

step 3. f(x) - g(x) = -6x^3 + 4x^2 + 4x - 8.

abidemiokin

The required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8

Given the following functions

f(x) = 2x² + 4x - 5

g(x) = 6x³ – 2x² + 3

In order to get the required function (f-g)(x), we will have to take the difference of the function as shown:

(f – g)(x) = f(x) - g(x)

Substitute the given parameters into the expression

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

Expand

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

Collect the like terms

(f – g)(x) = 2x²+2x²- 6x³ + 4x -5 -3

(f – g)(x) = - 6x³+ 4x² + 4x -5 -3

(f – g)(x) =  - 6x³+ 4x² + 4x - 8

Hence the required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8

Learn more here: https://brainly.com/question/17431959

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