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liraira [26]
3 years ago
6

What is the domain of the inverse of y=4x-3

Mathematics
1 answer:
matrenka [14]3 years ago
7 0
The domain is (-∞, ∞)
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For the linear function f(x) = -2x+1 , find the following
Leya [2.2K]

Given:

The function is:

f(x)=-2x+1

To find:

a. Slope and Y-intercept.

b. Is the function increasing, decreasing, or constant, justify your answer.

c. Graph the function, label x, and y-intercepts.

Solution:

a. We have,

f(x)=-2x+1                  ...(i)

The slope intercept form of a line is:

y=mx+b                    ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

m=-2,b=1

Therefore, the slope of the line is -2 and the y-intercept is 1.

b. If the slope of a linear function is negative, then the function is decreasing.

If the slope of a linear function is positive, then the function is increasing.

If the slope of a linear function is 0, then the function is constant.

The slope of the linear function is negative.

Therefore, the function is decreasing.

c. We have,

f(x)=-2x+1

At x=0, we get

f(0)=-2(0)+1

f(0)=1

So, the y-intercept is at (0,1).

At f(x)=0, we get

0=-2x+1

2x=1

x=\dfrac{1}{2}

x=0.5

So, the x-intercept is at \left(0.5,0\right).

Plot the points (0,1), \left(0.5,0\right) and connect them by a straight line as shown below:

4 0
3 years ago
50 POINTS!!!
Goryan [66]

9514 1404 393

Answer:

  • f(x) = x
  • g(x) = -2x+1
  • f(x) -(-g(x)) = -x+1
  • f(x) +g(x) = -x+1
  • f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not

Step-by-step explanation:

We can define a couple of linear functions as ...

  f(x) = x

  g(x) = -2x+1

Then the reflected function -g(x) is ...

  -g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

  f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

  f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are <em>a property of addition</em>, so do not depend on the nature of f(x) or g(x). They will hold for every function.

3 0
3 years ago
What is 3 and 3/4 times 2 and 2/5.please explain process
love history [14]
What you do is turn them in to improper fractions 
you will have 15/4 times 12/5 then multiply 
you would get 180/20 and you simplify it to get
9/1 witch = 9 
5 0
3 years ago
PLEASE HELP ME I DONT GET THIS..​
KIM [24]
I’m also doing my homework but just search how to solve for an area of a circle :) I’m 100% sure it will help
3 0
3 years ago
Read 2 more answers
Find the value of x.
Reptile [31]

Answer:

3°

Step-by-step explanation:

20x + 5 = 9x - 2 + 40

Exterior angle is equal to the sum of interior angles

20x + 5 = 9x + 38

11x = 33

x = 3

8 0
3 years ago
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