# If f(x) = - x2 + 6x - 1 and g(x) = 3x2 - 4x - 1, find (f - g)(x).O A. (f- g)(x) = 2x2 + 2x - 2 O B. (f- g)(x) = -4x2 + 10x O c. (f- g)(x) = 4x2 - 10x O D. (f- g)(x) = -4x2 - 2x

The (f-g)(x) is- 4x²+ 10x

### What are functions?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element ofX. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Given

f(x) = - x² + 6x -1

g(x)=3x² - 4x - 1

(f-g)(x) = - x² + 6x -1 -(3x² - 4x - 1)

(f-g)(x) = - x² + 6x -1 - 3x² + 4x + 1

(f-g)(x) = - 4x² + 10x

(f-g)(x) = - 4x²+ 10x

To know more about codomain refer to :

brainly.com/question/14626586

#SPJ2

## Related Questions

Are the series absolutely, conditionally convergent, or divergent?

Step-by-step explanation:

∑ sin(nπ/4) / (n³ + 3n)

This is less than 1 / n⁴ for all n > 1.  1/n⁴ is a convergent p-series, so the lesser series also converges.  │aₙ│converges for the same reason, so this is absolutely convergent.

∑ (-1)ⁿ⁺¹ ln(n + 1) / (n + 1)

This is an alternating series.  bₙ is positive and decreasing, and lim(n→∞) bₙ = 0, so the series converges.  Now we need to check if│aₙ│converges.  Using comparison test, │aₙ│is greater than 1/n for all n ≥ 6.  1/n is a divergent p-series, so the greater series│aₙ│also diverges.  So this is conditionally convergent.

Pls answer asapA traveler has 9 pieces of luggage.

How many ways can the traveler select 3 pieces of luggage for a trip?

Responses

84

84

504

504

60,480

60,480

362,880

84

Step-by-step explanation:

There are 9 pieces of luggage.

We can select the first piece 9 different ways, the second piece 8 different ways, since there are only 8 pieces left.  The third piece can be selected 7 different ways.

9*8*7

504

But order doesn't matter since we are taking 3 pieces.

Divide by (3*2*1)

504/6 = 84

There are 84 different combinations of luggage

84

Step-by-step explanation:

Trust me

## 14.

∠A ≅ ∠T . . . . given

AX ≅ TX . . . . given

∠AXM ≅ ∠TXH . . . . vertical angles are congruent

ΔAXM ≅ ΔTXH . . . . ASA theorem

MX ≅ HX . . . . CPCTC

___

## 15.

The acronyms that invoke theorems based on two or three sides being congruent are inapplicable in this case.

SSS

SAS

An elevator is on Level 3, which is 45.25 metersabove the ground. It travels to the basement
level, which is 10.42 meters underground.
What is the total distance, in meters, that the
elevator traveled?

55.67 m

Step-by-step explanation:

You just add the two numbers to get the total distance traveled.

25 points!!!Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?|w| = 9.4; θ = 72.9°
|w| = 9.4; θ = 107.1°
|w| = 14.2; θ = 72.9°
|w| = 14.2; θ = 107.1°

D. |w| = 14.2; θ = 107.1°

Step-by-step explanation:

EDGE 2020

9. Solve for x: 2x – y = (3/4)x + 6.​

x = 4(y + 6)/5

Step-by-step explanation:

2x - y = (3/4)x + 6

2x - (3/4)x = y + 6

(8x - 3x)/4 = y + 6

5x/4 = y + 6

5x = 4(y + 6)

5x = 4y + 24

x = (4y + 24)/5

Therefore, x = 4(y + 6)/5