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STatiana [176]
3 years ago
15

For f(x) = 2x+1 and g(x) = 3x-7, find (f-g)(x)

Mathematics
2 answers:
marissa [1.9K]3 years ago
4 0

Answer:

(f - g)(x) = -x + 8

General Formulas and Concepts:

  • Order of Operations: BPEMDAS

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 2x + 1

g(x) = 3x - 7

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

<u>Step 2: Simplify</u>

  1. Set up:                              (f - g)(x) = (2x + 1) - (3x - 7)
  2. Distribute -1:                     (f - g)(x) = 2x + 1 - 3x + 7
  3. Combine like terms:        (f - g)(x) = -x + 8
DedPeter [7]3 years ago
4 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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

(2x + 1) - (3x - 7) =

2x + 1 - 3x + 7 =

- x + 8

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus ;

(f - g)(x) =  - x + 8

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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48.9 is 58% of what number?​
tangare [24]

Answer:

84.48

Step-by-step explanation:

Formula = Number x 100

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4 0
3 years ago
if f is a differentiable function and f(0)=-1 and f(4)-3 then which of the following must be true there exists a c in [0,4] wher
iragen [17]

Answer:

True, see proof below.

Step-by-step explanation:

Remember two theorems about continuity:

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  2. (Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.

If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.

7 0
3 years ago
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te
MAXImum [283]

Answer:

  C.  <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

  • vertical scaling by a factor of 'a'
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  • up shift by c units

<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

  • k = 3
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The graph says the value of c is less than zero.

__

<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

8 0
2 years ago
What is the additive inverse of 18xy?
Cloud [144]
An additive inverse is the value you can add to a given value such that the sum is "0".. 

Your answer is choice A
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6 0
3 years ago
Read 2 more answers
What is the product in simplest form state any restrictions on the variable x^2+9x+18/x+ times x^2-3x-10/x^2+2x-24?
Ostrovityanka [42]

Answer:

<u>X^4+26X^3-24X^2-100 / X^2</u>

<u>(its a fraction btw)</u>

Step-by-step explanation:

ITS THE EQUATION SIMPLIFIED :)

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= x5+26x4−24x3−10x  x3

↓↓↓↓looks like this kinda ↓↓↓↓

x^4+26x^3−24x^2−10

---------------------------------

            x^2

6 0
3 years ago
Read 2 more answers
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